496008864 has 144 divisors (see below), whose sum is σ = 1608588072. Its totient is φ = 143622144.

The previous prime is 496008841. The next prime is 496008901. The reversal of 496008864 is 468800694.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 488056464 + 7952400 = 22092^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59752 + ... + 67544.

Almost surely, 2^496008864 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 496008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804294036).

496008864 is an abundant number, since it is smaller than the sum of its proper divisors (1112579208).

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

496008864 is a wasteful number, since it uses less digits than its factorization.

496008864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 496008864 is about 22271.2564531056. The cubic root of 496008864 is about 791.5830373315.

The spelling of 496008864 in words is "four hundred ninety-six million, eight thousand, eight hundred sixty-four".