653954496 has 112 divisors (see below), whose sum is σ = 1878933504. Its totient is φ = 199535616.

The previous prime is 653954491. The next prime is 653954501. The reversal of 653954496 is 694459356.

653954496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (653954491) and next prime (653954501).

It is a super-2 number, since 2×653954496² = 855312965677228032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653954491) 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, 315961 + ... + 318023.

It is an arithmetic number, because the mean of its divisors is an integer number (16776192).

Almost surely, 2^653954496 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 653954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939466752).

653954496 is an abundant number, since it is smaller than the sum of its proper divisors (1224979008).

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

653954496 is a wasteful number, since it uses less digits than its factorization.

653954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2208 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 51.

The square root of 653954496 is about 25572.5340160102. The cubic root of 653954496 is about 867.9922415724.

The spelling of 653954496 in words is "six hundred fifty-three million, nine hundred fifty-four thousand, four hundred ninety-six".