979940416 has 189 divisors, whose sum is σ = 2507727141. Its totient is φ = 378653184.

The previous prime is 979940389. The next prime is 979940419. The reversal of 979940416 is 614049979.

The square root of 979940416 is 31304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 144961600 + 834978816 = 12040^2 + 28896^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 979940416.

It is not an unprimeable number, because it can be changed into a prime (979940419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22789291 + ... + 22789333.

Almost surely, 2^979940416 is an apocalyptic number.

979940416 is the 31304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979940416

979940416 is an abundant number, since it is smaller than the sum of its proper divisors (1527786725).

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

979940416 is a wasteful number, since it uses less digits than its factorization.

979940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The cubic root of 979940416 is about 993.2682573266.

Multiplying 979940416 by its sum of digits (49), we get a square (48017080384 = 219128²).

979940416 divided by its sum of digits (49) gives a square (19998784 = 4472²).

The spelling of 979940416 in words is "nine hundred seventy-nine million, nine hundred forty thousand, four hundred sixteen".