864428500 has 48 divisors (see below), whose sum is σ = 2033151120. Its totient is φ = 319171200.

The previous prime is 864428473. The next prime is 864428501. The reversal of 864428500 is 5824468.

It can be written as a sum of positive squares in 8 ways, for example, as 679957776 + 184470724 = 26076^2 + 13582^2 .

It is a super-2 number, since 2×864428500² = 1494473263224500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 864428500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864428501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59995 + ... + 72994.

It is an arithmetic number, because the mean of its divisors is an integer number (42357315).

Almost surely, 2^864428500 is an apocalyptic number.

It is an amenable number.

864428500 is an abundant number, since it is smaller than the sum of its proper divisors (1168722620).

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

864428500 is a wasteful number, since it uses less digits than its factorization.

864428500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133021 (or 133009 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 864428500 is about 29401.1649429066. The cubic root of 864428500 is about 952.5980591747.

The spelling of 864428500 in words is "eight hundred sixty-four million, four hundred twenty-eight thousand, five hundred".