652990464 has 288 divisors, whose sum is σ = 2259457200. Its totient is φ = 185794560.

The previous prime is 652990433. The next prime is 652990469. The reversal of 652990464 is 464099256.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652990469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709384 + ... + 2709624.

Almost surely, 2^652990464 is an apocalyptic number.

652990464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129728600).

652990464 is an abundant number, since it is smaller than the sum of its proper divisors (1606466736).

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

652990464 is a wasteful number, since it uses less digits than its factorization.

652990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 652990464 is about 25553.6780914216. The cubic root of 652990464 is about 867.5655126909.

The spelling of 652990464 in words is "six hundred fifty-two million, nine hundred ninety thousand, four hundred sixty-four".