536302400 has 84 divisors (see below), whose sum is σ = 1397335788. Its totient is φ = 201891840.

The previous prime is 536302397. The next prime is 536302421. The reversal of 536302400 is 4203635.

It can be written as a sum of positive squares in 6 ways, for example, as 35617024 + 500685376 = 5968^2 + 22376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17342 + ... + 37058.

Almost surely, 2^536302400 is an apocalyptic number.

536302400 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 536302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698667894).

536302400 is an abundant number, since it is smaller than the sum of its proper divisors (861033388).

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

536302400 is a wasteful number, since it uses less digits than its factorization.

536302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19756 (or 19741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 536302400 is about 23158.2037299960. The cubic root of 536302400 is about 812.4623540743.

The spelling of 536302400 in words is "five hundred thirty-six million, three hundred two thousand, four hundred".