653318420 has 48 divisors (see below), whose sum is σ = 1447891200. Its totient is φ = 246936960.

The previous prime is 653318359. The next prime is 653318429. The reversal of 653318420 is 24813356.

Together with 794572779 it forms a betrothed pair.

It is a super-2 number, since 2×653318420² = 853649915822592800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653318429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161786 + ... + 165774.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^653318420 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 653318420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

653318420 is an abundant number, since it is smaller than the sum of its proper divisors (794572780).

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

653318420 is a wasteful number, since it uses less digits than its factorization.

653318420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 653318420 is about 25560.0942877760. The cubic root of 653318420 is about 867.7107295619.

The spelling of 653318420 in words is "six hundred fifty-three million, three hundred eighteen thousand, four hundred twenty".