52456000 has 112 divisors (see below), whose sum is σ = 133136640. Its totient is φ = 20467200.

The previous prime is 52455971. The next prime is 52456021. The reversal of 52456000 is 65425.

52456000 = 171² + 172² + ... + 545².

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631959 + ... + 632041.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^52456000 is an apocalyptic number.

52456000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

52456000 is an abundant number, since it is smaller than the sum of its proper divisors (80680640).

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

52456000 is an equidigital number, since it uses as much as digits as its factorization.

52456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 52456000 is about 7242.6514481922. The cubic root of 52456000 is about 374.3389836525.

The spelling of 52456000 in words is "fifty-two million, four hundred fifty-six thousand".