653252400 has 90 divisors (see below), whose sum is σ = 2266979780. Its totient is φ = 174199680.

The previous prime is 653252363. The next prime is 653252447. The reversal of 653252400 is 4252356.

653252400 is a `hidden beast` number, since 6 + 5 + 3 + 252 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87130 + ... + 94329.

Almost surely, 2^653252400 is an apocalyptic number.

653252400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

653252400 is an abundant number, since it is smaller than the sum of its proper divisors (1613727380).

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

653252400 is a wasteful number, since it uses less digits than its factorization.

653252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181483 (or 181469 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 653252400 is about 25558.8027888632. The cubic root of 653252400 is about 867.6815002252.

The spelling of 653252400 in words is "six hundred fifty-three million, two hundred fifty-two thousand, four hundred".