536504864 has 48 divisors (see below), whose sum is σ = 1212523200. Its totient is φ = 228904704.

The previous prime is 536504863. The next prime is 536504869. The reversal of 536504864 is 468405635.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (536504861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46067 + ... + 56525.

It is an arithmetic number, because the mean of its divisors is an integer number (25260900).

Almost surely, 2^536504864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606261600).

536504864 is an abundant number, since it is smaller than the sum of its proper divisors (676018336).

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

536504864 is a wasteful number, since it uses less digits than its factorization.

536504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10705 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 536504864 is about 23162.5746410022. The cubic root of 536504864 is about 812.5645810284.

The spelling of 536504864 in words is "five hundred thirty-six million, five hundred four thousand, eight hundred sixty-four".