652977504 has 96 divisors (see below), whose sum is σ = 1912740480. Its totient is φ = 216720000.

The previous prime is 652977473. The next prime is 652977509. The reversal of 652977504 is 405779256.

652977504 is a `hidden beast` number, since 6 + 52 + 97 + 7 + 504 = 666.

652977504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×652977504³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 652977504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652977509) 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, 215359 + ... + 218369.

It is an arithmetic number, because the mean of its divisors is an integer number (19924380).

Almost surely, 2^652977504 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 652977504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956370240).

652977504 is an abundant number, since it is smaller than the sum of its proper divisors (1259762976).

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

652977504 is a wasteful number, since it uses less digits than its factorization.

652977504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 652977504 is about 25553.4245063162. The cubic root of 652977504 is about 867.5597730852.

The spelling of 652977504 in words is "six hundred fifty-two million, nine hundred seventy-seven thousand, five hundred four".