52970400 has 216 divisors, whose sum is σ = 213673824. Its totient is φ = 12096000.

The previous prime is 52970341. The next prime is 52970429. The reversal of 52970400 is 407925.

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, 49875 + ... + 50925.

Almost surely, 2^52970400 is an apocalyptic number.

52970400 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 52970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106836912).

52970400 is an abundant number, since it is smaller than the sum of its proper divisors (160703424).

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

52970400 is a wasteful number, since it uses less digits than its factorization.

52970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52970400 is about 7278.0766690108. The cubic root of 52970400 is about 375.5586340614.

The spelling of 52970400 in words is "fifty-two million, nine hundred seventy thousand, four hundred".