480812400 has 90 divisors (see below), whose sum is σ = 1668565080. Its totient is φ = 128215680.

The previous prime is 480812399. The next prime is 480812467. The reversal of 480812400 is 4218084.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×480812400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63180 + ... + 70379.

It is an arithmetic number, because the mean of its divisors is an integer number (18539612).

Almost surely, 2^480812400 is an apocalyptic number.

480812400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480812400 is an abundant number, since it is smaller than the sum of its proper divisors (1187752680).

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

480812400 is a wasteful number, since it uses less digits than its factorization.

480812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133583 (or 133569 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 480812400 is about 21927.4348704996. The cubic root of 480812400 is about 783.4150068254.

The spelling of 480812400 in words is "four hundred eighty million, eight hundred twelve thousand, four hundred".