481464057600 has 324 divisors, whose sum is σ = 1732926195000. Its totient is φ = 127526461440.

The previous prime is 481464057559. The next prime is 481464057629. The reversal of 481464057600 is 6750464184.

481464057600 is a `hidden beast` number, since 4 + 8 + 14 + 64 + 0 + 576 + 0 + 0 = 666.

It is a super-2 number, since 2×481464057600² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8554351 + ... + 8610449.

Almost surely, 2^481464057600 is an apocalyptic number.

481464057600 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 481464057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866463097500).

481464057600 is an abundant number, since it is smaller than the sum of its proper divisors (1251462137400).

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

481464057600 is a wasteful number, since it uses less digits than its factorization.

481464057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56280 (or 56258 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 481464057600 in words is "four hundred eighty-one billion, four hundred sixty-four million, fifty-seven thousand, six hundred".