425184400 has 45 divisors (see below), whose sum is σ = 1022497273. Its totient is φ = 169908800.

The previous prime is 425184377. The next prime is 425184401. The reversal of 425184400 is 4481524.

The square root of 425184400 is 20620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 153066384 + 272118016 = 12372^2 + 16496^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (425184401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 411885 + ... + 412915.

Almost surely, 2^425184400 is an apocalyptic number.

425184400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

425184400 is the 20620-th square number.

It is an amenable number.

425184400 is an abundant number, since it is smaller than the sum of its proper divisors (597312873).

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

425184400 is an equidigital number, since it uses as much as digits as its factorization.

425184400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The cubic root of 425184400 is about 751.9560201381.

The spelling of 425184400 in words is "four hundred twenty-five million, one hundred eighty-four thousand, four hundred".