481172630400 has 1728 divisors, whose sum is σ = 2204333913600. Its totient is φ = 98819481600.

The previous prime is 481172630399. The next prime is 481172630429. The reversal of 481172630400 is 4036271184.

481172630400 is a `hidden beast` number, since 4 + 8 + 1 + 17 + 2 + 630 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2157724689 + ... + 2157724911.

It is an arithmetic number, because the mean of its divisors is an integer number (1275656200).

Almost surely, 2^481172630400 is an apocalyptic number.

481172630400 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 481172630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102166956800).

481172630400 is an abundant number, since it is smaller than the sum of its proper divisors (1723161283200).

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

481172630400 is a wasteful number, since it uses less digits than its factorization.

481172630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 481172630400 in words is "four hundred eighty-one billion, one hundred seventy-two million, six hundred thirty thousand, four hundred".