496710369 has 81 divisors (see below), whose sum is σ = 840875763. Its totient is φ = 282420864.

The previous prime is 496710349. The next prime is 496710377. The reversal of 496710369 is 963017694.

The square root of 496710369 is 22287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 386712225 + 109998144 = 19665^2 + 10488^2 .

It is not a de Polignac number, because 496710369 - 2⁵ = 496710337 is a prime.

It is a super-2 number, since 2×496710369² = 493442381344232322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (496710349) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21596092 + ... + 21596114.

Almost surely, 2^496710369 is an apocalyptic number.

496710369 is the 22287-th square number.

496710369 is the 11144-th centered octagonal number.

It is an amenable number.

496710369 is a deficient number, since it is larger than the sum of its proper divisors (344165394).

496710369 is a wasteful number, since it uses less digits than its factorization.

496710369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The cubic root of 496710369 is about 791.9560399919.

The spelling of 496710369 in words is "four hundred ninety-six million, seven hundred ten thousand, three hundred sixty-nine".