52256400 has 120 divisors (see below), whose sum is σ = 191338944. Its totient is φ = 11942400.

The previous prime is 52256389. The next prime is 52256429. The reversal of 52256400 is 465225.

52256400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5290 + ... + 11510.

Almost surely, 2^52256400 is an apocalyptic number.

52256400 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 52256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95669472).

52256400 is an abundant number, since it is smaller than the sum of its proper divisors (139082544).

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

52256400 is a wasteful number, since it uses less digits than its factorization.

52256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6249 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 52256400 is about 7228.8588311019. The cubic root of 52256400 is about 373.8635818444.

The spelling of 52256400 in words is "fifty-two million, two hundred fifty-six thousand, four hundred".