4812608400 has 60 divisors (see below), whose sum is σ = 15416392752. Its totient is φ = 1283361920.

The previous prime is 4812608393. The next prime is 4812608417. The reversal of 4812608400 is 48062184.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4812608400² = 46322399223501120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2004054 + ... + 2006453.

Almost surely, 2^4812608400 is an apocalyptic number.

4812608400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4812608400 is an abundant number, since it is smaller than the sum of its proper divisors (10603784352).

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

4812608400 is a wasteful number, since it uses less digits than its factorization.

4812608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010528 (or 4010517 counting only the distinct ones).

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

The square root of 4812608400 is about 69372.9659161261. The cubic root of 4812608400 is about 1688.3410304276.

The spelling of 4812608400 in words is "four billion, eight hundred twelve million, six hundred eight thousand, four hundred".