481564686400 has 168 divisors, whose sum is σ = 1355313698816. Its totient is φ = 164975616000.

The previous prime is 481564686391. The next prime is 481564686401. The reversal of 481564686400 is 4686465184.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (481564686401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14509825 + ... + 14542975.

Almost surely, 2^481564686400 is an apocalyptic number.

481564686400 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 481564686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677656849408).

481564686400 is an abundant number, since it is smaller than the sum of its proper divisors (873749012416).

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

481564686400 is a wasteful number, since it uses less digits than its factorization.

481564686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34477 (or 34462 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 481564686400 in words is "four hundred eighty-one billion, five hundred sixty-four million, six hundred eighty-six thousand, four hundred".