481212825600 has 816 divisors, whose sum is σ = 1818493733952. Its totient is φ = 111232942080.

The previous prime is 481212825557. The next prime is 481212825607. The reversal of 481212825600 is 6528212184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481212825607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086258979 + ... + 1086259421.

Almost surely, 2^481212825600 is an apocalyptic number.

481212825600 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 481212825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909246866976).

481212825600 is an abundant number, since it is smaller than the sum of its proper divisors (1337280908352).

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

481212825600 is a wasteful number, since it uses less digits than its factorization.

481212825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 481212825600 in words is "four hundred eighty-one billion, two hundred twelve million, eight hundred twenty-five thousand, six hundred".