979446240 has 288 divisors, whose sum is σ = 3549401856. Its totient is φ = 245514240.

The previous prime is 979446229. The next prime is 979446241. The reversal of 979446240 is 42644979.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979446241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651384 + ... + 1651976.

It is an arithmetic number, because the mean of its divisors is an integer number (12324312).

Almost surely, 2^979446240 is an apocalyptic number.

979446240 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 979446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774700928).

979446240 is an abundant number, since it is smaller than the sum of its proper divisors (2569955616).

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

979446240 is a wasteful number, since it uses less digits than its factorization.

979446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 979446240 is about 31296.1058280419. The cubic root of 979446240 is about 993.1012635448.

The spelling of 979446240 in words is "nine hundred seventy-nine million, four hundred forty-six thousand, two hundred forty".