536464800 has 108 divisors (see below), whose sum is σ = 1891734390. Its totient is φ = 143055360.

The previous prime is 536464793. The next prime is 536464871. The reversal of 536464800 is 8464635.

536464800 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 308213136 + 228251664 = 17556^2 + 15108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30055 + ... + 44454.

Almost surely, 2^536464800 is an apocalyptic number.

536464800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536464800 is an abundant number, since it is smaller than the sum of its proper divisors (1355269590).

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

536464800 is a wasteful number, since it uses less digits than its factorization.

536464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74535 (or 74519 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 536464800 is about 23161.7097814475. The cubic root of 536464800 is about 812.5443541862.

The spelling of 536464800 in words is "five hundred thirty-six million, four hundred sixty-four thousand, eight hundred".