979142400 has 324 divisors, whose sum is σ = 3558522240. Its totient is φ = 256819200.

The previous prime is 979142393. The next prime is 979142413. The reversal of 979142400 is 4241979.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5126305 + ... + 5126495.

Almost surely, 2^979142400 is an apocalyptic number.

979142400 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 979142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779261120).

979142400 is an abundant number, since it is smaller than the sum of its proper divisors (2579379840).

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

979142400 is a wasteful number, since it uses less digits than its factorization.

979142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 979142400 is about 31291.2511734510. The cubic root of 979142400 is about 992.9985609214.

The spelling of 979142400 in words is "nine hundred seventy-nine million, one hundred forty-two thousand, four hundred".