536360400 has 120 divisors (see below), whose sum is σ = 1909084160. Its totient is φ = 143026560.

The previous prime is 536360347. The next prime is 536360411. The reversal of 536360400 is 4063635.

536360400 is a `hidden beast` number, since 53 + 6 + 3 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14032 + ... + 35631.

Almost surely, 2^536360400 is an apocalyptic number.

536360400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536360400 is an abundant number, since it is smaller than the sum of its proper divisors (1372723760).

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

536360400 is a wasteful number, since it uses less digits than its factorization.

536360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49690 (or 49673 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 536360400 is about 23159.4559521592. The cubic root of 536360400 is about 812.4916417286.

The spelling of 536360400 in words is "five hundred thirty-six million, three hundred sixty thousand, four hundred".