52718400 has 252 divisors, whose sum is σ = 214550752. Its totient is φ = 12026880.

The previous prime is 52718399. The next prime is 52718401. The reversal of 52718400 is 481725.

It is an interprime number because it is at equal distance from previous prime (52718399) and next prime (52718401).

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52718401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100539 + ... + 101061.

Almost surely, 2^52718400 is an apocalyptic number.

52718400 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 52718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107275376).

52718400 is an abundant number, since it is smaller than the sum of its proper divisors (161832352).

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

52718400 is a wasteful number, since it uses less digits than its factorization.

52718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 52718400 is about 7260.7437635548. The cubic root of 52718400 is about 374.9621295090.

The spelling of 52718400 in words is "fifty-two million, seven hundred eighteen thousand, four hundred".