52166400 has 432 divisors, whose sum is σ = 212903040. Its totient is φ = 11059200.

The previous prime is 52166377. The next prime is 52166417. The reversal of 52166400 is 466125.

52166400 = 331² + 332² + ... + 577².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2745591 + ... + 2745609.

Almost surely, 2^52166400 is an apocalyptic number.

52166400 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 52166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520).

52166400 is an abundant number, since it is smaller than the sum of its proper divisors (160736640).

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

52166400 is a wasteful number, since it uses less digits than its factorization.

52166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 52166400 is about 7222.6310995371. The cubic root of 52166400 is about 373.6488262817.

The spelling of 52166400 in words is "fifty-two million, one hundred sixty-six thousand, four hundred".