979456000 has 104 divisors (see below), whose sum is σ = 2445701544. Its totient is φ = 391577600.

The previous prime is 979455977. The next prime is 979456001. The reversal of 979456000 is 654979.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 979439616 = 128^2 + 31296^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979456001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511044 + ... + 512956.

It is an arithmetic number, because the mean of its divisors is an integer number (23516361).

Almost surely, 2^979456000 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 979456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222850772).

979456000 is an abundant number, since it is smaller than the sum of its proper divisors (1466245544).

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

979456000 is an equidigital number, since it uses as much as digits as its factorization.

979456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 979456000 is about 31296.2617575965. The cubic root of 979456000 is about 993.1045622238.

The spelling of 979456000 in words is "nine hundred seventy-nine million, four hundred fifty-six thousand".