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499744960 = 265111367163
BaseRepresentation
bin11101110010011…
…000000011000000
31021211100200012121
4131302120003000
52010413314320
6121331134024
715245522251
oct3562300300
91254320177
10499744960
11237102870
1211b444314
137c6c5ca0
144a52ab28
152dd178aa
hex1dc980c0

499744960 has 224 divisors, whose sum is σ = 1427634432. Its totient is φ = 164229120.

The previous prime is 499744951. The next prime is 499744961. The reversal of 499744960 is 69447994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 499744898 and 499744907.

It is not an unprimeable number, because it can be changed into a prime (499744961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3065839 + ... + 3066001.

It is an arithmetic number, because the mean of its divisors is an integer number (6373368).

Almost surely, 2499744960 is an apocalyptic number.

499744960 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 499744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713817216).

499744960 is an abundant number, since it is smaller than the sum of its proper divisors (927889472).

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

499744960 is a wasteful number, since it uses less digits than its factorization.

499744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 499744960 is about 22354.9761798129. The cubic root of 499744960 is about 793.5655527777.

The spelling of 499744960 in words is "four hundred ninety-nine million, seven hundred forty-four thousand, nine hundred sixty".