979117272 has 192 divisors, whose sum is σ = 3246048000. Its totient is φ = 260381952.

The previous prime is 979117259. The next prime is 979117277. The reversal of 979117272 is 272711979.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979117277) 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, 564118 + ... + 565850.

It is an arithmetic number, because the mean of its divisors is an integer number (16906500).

Almost surely, 2^979117272 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 979117272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623024000).

979117272 is an abundant number, since it is smaller than the sum of its proper divisors (2266930728).

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

979117272 is a wasteful number, since it uses less digits than its factorization.

979117272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1823 counting only the distinct ones).

The product of its digits is 111132, while the sum is 45.

The square root of 979117272 is about 31290.8496528937. The cubic root of 979117272 is about 992.9900663172.

The spelling of 979117272 in words is "nine hundred seventy-nine million, one hundred seventeen thousand, two hundred seventy-two".