979582464 has 320 divisors, whose sum is σ = 3394068480. Its totient is φ = 273162240.

The previous prime is 979582463. The next prime is 979582477. The reversal of 979582464 is 464285979.

979582464 is a `hidden beast` number, since 97 + 95 + 8 + 2 + 464 = 666.

It is a super-2 number, since 2×979582464² = 1919163607552622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4354560) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 979582464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979582463) 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, 5128609 + ... + 5128799.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^979582464 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 979582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

979582464 is an abundant number, since it is smaller than the sum of its proper divisors (2414486016).

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

979582464 is a wasteful number, since it uses less digits than its factorization.

979582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 979582464 is about 31298.2821253819. The cubic root of 979582464 is about 993.1473024696.

The spelling of 979582464 in words is "nine hundred seventy-nine million, five hundred eighty-two thousand, four hundred sixty-four".