4872900 has 72 divisors (see below), whose sum is σ = 14512960. Its totient is φ = 1261440.

The previous prime is 4872877. The next prime is 4872919. The reversal of 4872900 is 92784.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10881 + ... + 11319.

Almost surely, 2^4872900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256480).

4872900 is an abundant number, since it is smaller than the sum of its proper divisors (9640060).

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

4872900 is a wasteful number, since it uses less digits than its factorization.

4872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4872900 is about 2207.4646090028. The cubic root of 4872900 is about 169.5362214948.

The spelling of 4872900 in words is "four million, eight hundred seventy-two thousand, nine hundred".