52264800 has 432 divisors, whose sum is σ = 226672992. Its totient is φ = 11059200.

The previous prime is 52264787. The next prime is 52264813. The reversal of 52264800 is 846225.

52264800 is a `hidden beast` number, since 522 + 64 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52264787) and next prime (52264813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856770 + ... + 856830.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 2^52264800 is an apocalyptic number.

52264800 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 52264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113336496).

52264800 is an abundant number, since it is smaller than the sum of its proper divisors (174408192).

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

52264800 is a wasteful number, since it uses less digits than its factorization.

52264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52264800 is about 7229.4398123229. The cubic root of 52264800 is about 373.8836131123.

The spelling of 52264800 in words is "fifty-two million, two hundred sixty-four thousand, eight hundred".