481262400 has 252 divisors, whose sum is σ = 1801571200. Its totient is φ = 121512960.

The previous prime is 481262393. The next prime is 481262417. The reversal of 481262400 is 4262184.

It is a super-2 number, since 2×481262400² = 463226995307520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 272721 + ... + 274479.

Almost surely, 2^481262400 is an apocalyptic number.

481262400 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 481262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900785600).

481262400 is an abundant number, since it is smaller than the sum of its proper divisors (1320308800).

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

481262400 is a wasteful number, since it uses less digits than its factorization.

481262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 481262400 is about 21937.6935888894. The cubic root of 481262400 is about 783.6593341546.

The spelling of 481262400 in words is "four hundred eighty-one million, two hundred sixty-two thousand, four hundred".