52574400 has 168 divisors, whose sum is σ = 191810640. Its totient is φ = 14008320.

The previous prime is 52574383. The next prime is 52574411. The reversal of 52574400 is 447525.

52574400 is a `hidden beast` number, since 5 + 257 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42592 + ... + 43808.

It is an arithmetic number, because the mean of its divisors is an integer number (1141730).

Almost surely, 2^52574400 is an apocalyptic number.

52574400 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 52574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95905320).

52574400 is an abundant number, since it is smaller than the sum of its proper divisors (139236240).

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

52574400 is a wasteful number, since it uses less digits than its factorization.

52574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 52574400 is about 7250.8206432100. The cubic root of 52574400 is about 374.6204159054.

The spelling of 52574400 in words is "fifty-two million, five hundred seventy-four thousand, four hundred".