4872008400 has 120 divisors (see below), whose sum is σ = 17836221504. Its totient is φ = 1113600000.

The previous prime is 4872008389. The next prime is 4872008413. The reversal of 4872008400 is 48002784.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 281601 + ... + 298400.

Almost surely, 2^4872008400 is an apocalyptic number.

4872008400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4872008400 is an abundant number, since it is smaller than the sum of its proper divisors (12964213104).

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

4872008400 is a wasteful number, since it uses less digits than its factorization.

4872008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580029 (or 580018 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4872008400 is about 69799.7736386014. The cubic root of 4872008400 is about 1695.2588078630.

The spelling of 4872008400 in words is "four billion, eight hundred seventy-two million, eight thousand, four hundred".