653410264 has 64 divisors (see below), whose sum is σ = 1357171200. Its totient is φ = 293065344.

The previous prime is 653410259. The next prime is 653410271. The reversal of 653410264 is 462014356.

It is a congruent number.

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, 549879 + ... + 551065.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 2^653410264 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 653410264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

653410264 is an abundant number, since it is smaller than the sum of its proper divisors (703760936).

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

653410264 is a wasteful number, since it uses less digits than its factorization.

653410264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 653410264 is about 25561.8908533778. The cubic root of 653410264 is about 867.7513888012.

The spelling of 653410264 in words is "six hundred fifty-three million, four hundred ten thousand, two hundred sixty-four".