52634400 has 288 divisors, whose sum is σ = 211736448. Its totient is φ = 11059200.

The previous prime is 52634347. The next prime is 52634401. The reversal of 52634400 is 443625.

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

It is not an unprimeable number, because it can be changed into a prime (52634401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218280 + ... + 218520.

It is an arithmetic number, because the mean of its divisors is an integer number (735196).

Almost surely, 2^52634400 is an apocalyptic number.

52634400 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 52634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105868224).

52634400 is an abundant number, since it is smaller than the sum of its proper divisors (159102048).

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

52634400 is a wasteful number, since it uses less digits than its factorization.

52634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 52634400 is about 7254.9569261299. The cubic root of 52634400 is about 374.7628723084.

The spelling of 52634400 in words is "fifty-two million, six hundred thirty-four thousand, four hundred".