652596480 has 288 divisors, whose sum is σ = 2419441920. Its totient is φ = 166256640.

The previous prime is 652596479. The next prime is 652596487. The reversal of 652596480 is 84695256.

652596480 is a `hidden beast` number, since 6 + 52 + 596 + 4 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652596487) 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 31 ways as a sum of consecutive naturals, for example, 794470 + ... + 795290.

It is an arithmetic number, because the mean of its divisors is an integer number (8400840).

Almost surely, 2^652596480 is an apocalyptic number.

652596480 is a gapful number since it is divisible by the number (60) 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 652596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209720960).

652596480 is an abundant number, since it is smaller than the sum of its proper divisors (1766845440).

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

652596480 is a wasteful number, since it uses less digits than its factorization.

652596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 652596480 is about 25545.9679793113. The cubic root of 652596480 is about 867.3909947276.

The spelling of 652596480 in words is "six hundred fifty-two million, five hundred ninety-six thousand, four hundred eighty".