979464960 has 432 divisors, whose sum is σ = 3642702336. Its totient is φ = 251817984.

The previous prime is 979464947. The next prime is 979464961. The reversal of 979464960 is 69464979.

979464960 is a `hidden beast` number, since 97 + 9 + 464 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 979464897 and 979464906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979464961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14618847 + ... + 14618913.

Almost surely, 2^979464960 is an apocalyptic number.

979464960 is a gapful number since it is divisible by the number (90) 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 979464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821351168).

979464960 is an abundant number, since it is smaller than the sum of its proper divisors (2663237376).

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

979464960 is an equidigital number, since it uses as much as digits as its factorization.

979464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 979464960 is about 31296.4049053561. The cubic root of 979464960 is about 993.1075905000.

The spelling of 979464960 in words is "nine hundred seventy-nine million, four hundred sixty-four thousand, nine hundred sixty".