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481443480 = 233357431481
BaseRepresentation
bin11100101100100…
…011111010011000
31020112220212022000
4130230203322120
51441222142410
6115435001000
714634126210
oct3454437230
91215825260
10481443480
11227842681
12115299160
13789889cb
1447d25240
152c3eedc0
hex1cb23e98

481443480 has 256 divisors, whose sum is σ = 1877990400. Its totient is φ = 107412480.

The previous prime is 481443449. The next prime is 481443493. The reversal of 481443480 is 84344184.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324340 + ... + 325820.

It is an arithmetic number, because the mean of its divisors is an integer number (7335900).

Almost surely, 2481443480 is an apocalyptic number.

481443480 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 481443480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938995200).

481443480 is an abundant number, since it is smaller than the sum of its proper divisors (1396546920).

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

481443480 is a wasteful number, since it uses less digits than its factorization.

481443480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 481443480 is about 21941.8203438092. The cubic root of 481443480 is about 783.7576084974.

The spelling of 481443480 in words is "four hundred eighty-one million, four hundred forty-three thousand, four hundred eighty".