536200400 has 60 divisors (see below), whose sum is σ = 1364016492. Its totient is φ = 201861120.

The previous prime is 536200361. The next prime is 536200409. The reversal of 536200400 is 4002635.

It can be written as a sum of positive squares in 6 ways, for example, as 41938576 + 494261824 = 6476^2 + 22232^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536200409) by changing a digit.

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, 32627 + ... + 46226.

Almost surely, 2^536200400 is an apocalyptic number.

536200400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536200400 is an abundant number, since it is smaller than the sum of its proper divisors (827816092).

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

536200400 is a wasteful number, since it uses less digits than its factorization.

536200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78888 (or 78877 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 536200400 is about 23156.0013819312. The cubic root of 536200400 is about 812.4108430770.

The spelling of 536200400 in words is "five hundred thirty-six million, two hundred thousand, four hundred".