52934400 has 162 divisors, whose sum is σ = 189458360. Its totient is φ = 14100480.

The previous prime is 52934381. The next prime is 52934443. The reversal of 52934400 is 443925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57141 + ... + 58059.

Almost surely, 2^52934400 is an apocalyptic number.

52934400 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 52934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94729180).

52934400 is an abundant number, since it is smaller than the sum of its proper divisors (136523960).

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

52934400 is a wasteful number, since it uses less digits than its factorization.

52934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52934400 is about 7275.6030677876. The cubic root of 52934400 is about 375.4735351203.

The spelling of 52934400 in words is "fifty-two million, nine hundred thirty-four thousand, four hundred".