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480897000 = 2335531979
BaseRepresentation
bin11100101010011…
…110011111101000
31020111220002200000
4130222132133220
51441102201000
6115415143000
714626362033
oct3452363750
91214802600
10480897000
112274aa041
12115074a60
137882704c
1447c2201a
152c343000
hex1ca9e7e8

480897000 has 192 divisors, whose sum is σ = 1686484800. Its totient is φ = 128174400.

The previous prime is 480896981. The next prime is 480897019. The reversal of 480897000 is 798084.

It is an interprime number because it is at equal distance from previous prime (480896981) and next prime (480897019).

It is a super-3 number, since 3×4808970003 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242011 + ... + 243989.

It is an arithmetic number, because the mean of its divisors is an integer number (8783775).

Almost surely, 2480897000 is an apocalyptic number.

480897000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843242400).

480897000 is an abundant number, since it is smaller than the sum of its proper divisors (1205587800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480897000 is a wasteful number, since it uses less digits than its factorization.

480897000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 480897000 is about 21929.3638758629. The cubic root of 480897000 is about 783.4609519957.

The spelling of 480897000 in words is "four hundred eighty million, eight hundred ninety-seven thousand".