978595430400 has 720 divisors, whose sum is σ = 4109264906880. Its totient is φ = 223661260800.

The previous prime is 978595430387. The next prime is 978595430419. The reversal of 978595430400 is 4034595879.

978595430400 is a `hidden beast` number, since 9 + 7 + 8 + 59 + 543 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×978595430400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77408080 + ... + 77420720.

Almost surely, 2^978595430400 is an apocalyptic number.

978595430400 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 978595430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054632453440).

978595430400 is an abundant number, since it is smaller than the sum of its proper divisors (3130669476480).

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

978595430400 is a wasteful number, since it uses less digits than its factorization.

978595430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12695 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 978595430400 in words is "nine hundred seventy-eight billion, five hundred ninety-five million, four hundred thirty thousand, four hundred".