52864900 has 108 divisors (see below), whose sum is σ = 134030484. Its totient is φ = 18022400.

The previous prime is 52864873. The next prime is 52864913. The reversal of 52864900 is 946825.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5750404 + 47114496 = 2398^2 + 6864^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205572 + ... + 205828.

It is an arithmetic number, because the mean of its divisors is an integer number (1241023).

Almost surely, 2^52864900 is an apocalyptic number.

52864900 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 52864900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67015242).

52864900 is an abundant number, since it is smaller than the sum of its proper divisors (81165584).

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

52864900 is a wasteful number, since it uses less digits than its factorization.

52864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 52864900 is about 7270.8252626507. The cubic root of 52864900 is about 375.3091376796.

The spelling of 52864900 in words is "fifty-two million, eight hundred sixty-four thousand, nine hundred".