52562400 has 216 divisors, whose sum is σ = 189097272. Its totient is φ = 12672000.

The previous prime is 52562399. The next prime is 52562401. The reversal of 52562400 is 426525.

It is an interprime number because it is at equal distance from previous prime (52562399) and next prime (52562401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52562401) 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, 290310 + ... + 290490.

Almost surely, 2^52562400 is an apocalyptic number.

52562400 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 52562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94548636).

52562400 is an abundant number, since it is smaller than the sum of its proper divisors (136534872).

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

52562400 is a wasteful number, since it uses less digits than its factorization.

52562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 52562400 is about 7249.9931034450. The cubic root of 52562400 is about 374.5919116203.

Adding to 52562400 its reverse (426525), we get a palindrome (52988925).

The spelling of 52562400 in words is "fifty-two million, five hundred sixty-two thousand, four hundred".