978130944 has 432 divisors, whose sum is σ = 3557244600. Its totient is φ = 264757248.

The previous prime is 978130939. The next prime is 978130981. The reversal of 978130944 is 449031879.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×978130944² = 1913480287220662272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 978130944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51480567 + ... + 51480585.

Almost surely, 2^978130944 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 978130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778622300).

978130944 is an abundant number, since it is smaller than the sum of its proper divisors (2579113656).

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

978130944 is a wasteful number, since it uses less digits than its factorization.

978130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 978130944 is about 31275.0850358556. The cubic root of 978130944 is about 992.6565199709.

The spelling of 978130944 in words is "nine hundred seventy-eight million, one hundred thirty thousand, nine hundred forty-four".