52358400 has 270 divisors, whose sum is σ = 195509622. Its totient is φ = 13824000.

The previous prime is 52358399. The next prime is 52358431. The reversal of 52358400 is 485325.

It can be written as a sum of positive squares in 3 ways, for example, as 14017536 + 38340864 = 3744^2 + 6192^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518350 + ... + 518450.

Almost surely, 2^52358400 is an apocalyptic number.

52358400 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 52358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97754811).

52358400 is an abundant number, since it is smaller than the sum of its proper divisors (143151222).

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

52358400 is a wasteful number, since it uses less digits than its factorization.

52358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52358400 is about 7235.9104472070. The cubic root of 52358400 is about 374.1066736044.

The spelling of 52358400 in words is "fifty-two million, three hundred fifty-eight thousand, four hundred".