979188480 has 288 divisors, whose sum is σ = 3598257600. Its totient is φ = 251854848.

The previous prime is 979188467. The next prime is 979188481. The reversal of 979188480 is 84881979.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (979188481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001752 + ... + 1002728.

It is an arithmetic number, because the mean of its divisors is an integer number (12493950).

Almost surely, 2^979188480 is an apocalyptic number.

979188480 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 979188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799128800).

979188480 is an abundant number, since it is smaller than the sum of its proper divisors (2619069120).

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

979188480 is a wasteful number, since it uses less digits than its factorization.

979188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 979188480 is about 31291.9874728340. The cubic root of 979188480 is about 993.0141380413.

The spelling of 979188480 in words is "nine hundred seventy-nine million, one hundred eighty-eight thousand, four hundred eighty".