536526400 has 84 divisors (see below), whose sum is σ = 1334186308. Its totient is φ = 212336640.

The previous prime is 536526391. The next prime is 536526413. The reversal of 536526400 is 4625635.

It can be written as a sum of positive squares in 6 ways, for example, as 123298816 + 413227584 = 11104^2 + 20328^2 .

It is a super-3 number, since 3×536526400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153472 + ... + 156928.

Almost surely, 2^536526400 is an apocalyptic number.

536526400 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 536526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667093154).

536526400 is an abundant number, since it is smaller than the sum of its proper divisors (797659908).

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

536526400 is a wasteful number, since it uses less digits than its factorization.

536526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 536526400 is about 23163.0395242075. The cubic root of 536526400 is about 812.5754533478.

The spelling of 536526400 in words is "five hundred thirty-six million, five hundred twenty-six thousand, four hundred".