979461120 has 528 divisors, whose sum is σ = 3763597824. Its totient is φ = 216268800.

The previous prime is 979461113. The next prime is 979461121. The reversal of 979461120 is 21164979.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (979461121) 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, 31595505 + ... + 31595535.

Almost surely, 2^979461120 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 979461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881798912).

979461120 is an abundant number, since it is smaller than the sum of its proper divisors (2784136704).

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

979461120 is a wasteful number, since it uses less digits than its factorization.

979461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 979461120 is about 31296.3435563965. The cubic root of 979461120 is about 993.1062926696.

The spelling of 979461120 in words is "nine hundred seventy-nine million, four hundred sixty-one thousand, one hundred twenty".