481286400 has 216 divisors, whose sum is σ = 1815758784. Its totient is φ = 109977600.

The previous prime is 481286387. The next prime is 481286411. The reversal of 481286400 is 4682184.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132610 + ... + 136190.

Almost surely, 2^481286400 is an apocalyptic number.

481286400 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 481286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907879392).

481286400 is an abundant number, since it is smaller than the sum of its proper divisors (1334472384).

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

481286400 is a wasteful number, since it uses less digits than its factorization.

481286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 481286400 is about 21938.2405857899. The cubic root of 481286400 is about 783.6723606667.

The spelling of 481286400 in words is "four hundred eighty-one million, two hundred eighty-six thousand, four hundred".