52945200 has 360 divisors, whose sum is σ = 230270976. Its totient is φ = 10944000.

The previous prime is 52945183. The next prime is 52945223. The reversal of 52945200 is 254925.

52945200 is a `hidden beast` number, since 52 + 94 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 277105 + ... + 277295.

Almost surely, 2^52945200 is an apocalyptic number.

52945200 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 52945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115135488).

52945200 is an abundant number, since it is smaller than the sum of its proper divisors (177325776).

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

52945200 is a wasteful number, since it uses less digits than its factorization.

52945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52945200 is about 7276.3452364494. The cubic root of 52945200 is about 375.4990688528.

The spelling of 52945200 in words is "fifty-two million, nine hundred forty-five thousand, two hundred".