481857411600 has 240 divisors, whose sum is σ = 1805322299200. Its totient is φ = 121732346880.

The previous prime is 481857411599. The next prime is 481857411641. The reversal of 481857411600 is 6114758184.

481857411600 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 574 + 11 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×481857411600² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968917 + ... + 1379316.

Almost surely, 2^481857411600 is an apocalyptic number.

481857411600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481857411600 is an abundant number, since it is smaller than the sum of its proper divisors (1323464887600).

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

481857411600 is a wasteful number, since it uses less digits than its factorization.

481857411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348279 (or 2348262 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 481857411600 in words is "four hundred eighty-one billion, eight hundred fifty-seven million, four hundred eleven thousand, six hundred".