481302565920 has 192 divisors, whose sum is σ = 1837700887680. Its totient is φ = 116679398400.

The previous prime is 481302565879. The next prime is 481302565921. The reversal of 481302565920 is 29565203184.

481302565920 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 0 + 2 + 56 + 592 + 0 = 666.

It is a super-2 number, since 2×481302565920² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (481302565921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5016691 + ... + 5111730.

It is an arithmetic number, because the mean of its divisors is an integer number (9571358790).

Almost surely, 2^481302565920 is an apocalyptic number.

481302565920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481302565920 is an abundant number, since it is smaller than the sum of its proper divisors (1356398321760).

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

481302565920 is a wasteful number, since it uses less digits than its factorization.

481302565920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128456 (or 10128442 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 481302565920 in words is "four hundred eighty-one billion, three hundred two million, five hundred sixty-five thousand, nine hundred twenty".