979481520 has 240 divisors, whose sum is σ = 3565834272. Its totient is φ = 239984640.

The previous prime is 979481491. The next prime is 979481527. The reversal of 979481520 is 25184979.

979481520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (979481527) 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, 525390 + ... + 527250.

Almost surely, 2^979481520 is an apocalyptic number.

979481520 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 979481520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782917136).

979481520 is an abundant number, since it is smaller than the sum of its proper divisors (2586352752).

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

979481520 is a wasteful number, since it uses less digits than its factorization.

979481520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 979481520 is about 31296.6694713671. The cubic root of 979481520 is about 993.1131873546.

The spelling of 979481520 in words is "nine hundred seventy-nine million, four hundred eighty-one thousand, five hundred twenty".