864577252 has 48 divisors (see below), whose sum is σ = 1912240512. Its totient is φ = 332225280.

The previous prime is 864577243. The next prime is 864577289. The reversal of 864577252 is 252775468.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3258 + ... + 41710.

It is an arithmetic number, because the mean of its divisors is an integer number (39838344).

Almost surely, 2^864577252 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 864577252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956120256).

864577252 is an abundant number, since it is smaller than the sum of its proper divisors (1047663260).

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

864577252 is a wasteful number, since it uses less digits than its factorization.

864577252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38548 (or 38546 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The square root of 864577252 is about 29403.6945297696. The cubic root of 864577252 is about 952.6526974856.

The spelling of 864577252 in words is "eight hundred sixty-four million, five hundred seventy-seven thousand, two hundred fifty-two".