4890400 has 36 divisors (see below), whose sum is σ = 11940642. Its totient is φ = 1955840.

The previous prime is 4890383. The next prime is 4890419. The reversal of 4890400 is 40984.

It can be written as a sum of positive squares in 3 ways, for example, as 3732624 + 1157776 = 1932^2 + 1076^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2257 + ... + 3856.

Almost surely, 2^4890400 is an apocalyptic number.

4890400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4890400 is an abundant number, since it is smaller than the sum of its proper divisors (7050242).

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

4890400 is a wasteful number, since it uses less digits than its factorization.

4890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4890400 is about 2211.4248800265. The cubic root of 4890400 is about 169.7389303060.

The spelling of 4890400 in words is "four million, eight hundred ninety thousand, four hundred".