979457600 has 336 divisors, whose sum is σ = 2891332800. Its totient is φ = 322560000.

The previous prime is 979457561. The next prime is 979457603. The reversal of 979457600 is 6754979.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (979457603) 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, 9697550 + ... + 9697650.

Almost surely, 2^979457600 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 979457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445666400).

979457600 is an abundant number, since it is smaller than the sum of its proper divisors (1911875200).

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

979457600 is a wasteful number, since it uses less digits than its factorization.

979457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 979457600 is about 31296.2873197445. The cubic root of 979457600 is about 993.1051029888.

The spelling of 979457600 in words is "nine hundred seventy-nine million, four hundred fifty-seven thousand, six hundred".