52526400 has 168 divisors, whose sum is σ = 178393344. Its totient is φ = 13516800.

The previous prime is 52526351. The next prime is 52526423. The reversal of 52526400 is 462525.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148624 + ... + 148976.

Almost surely, 2^52526400 is an apocalyptic number.

52526400 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 52526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89196672).

52526400 is an abundant number, since it is smaller than the sum of its proper divisors (125866944).

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

52526400 is a wasteful number, since it uses less digits than its factorization.

52526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

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

The square root of 52526400 is about 7247.5099172060. The cubic root of 52526400 is about 374.5063727263.

Adding to 52526400 its reverse (462525), we get a palindrome (52988925).

The spelling of 52526400 in words is "fifty-two million, five hundred twenty-six thousand, four hundred".