977997456 has 80 divisors (see below), whose sum is σ = 2836276800. Its totient is φ = 322624512.

The previous prime is 977997413. The next prime is 977997457. The reversal of 977997456 is 654799779.

977997456 is a `hidden beast` number, since 97 + 7 + 9 + 97 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 977997393 and 977997402.

It is not an unprimeable number, because it can be changed into a prime (977997457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30235 + ... + 53573.

It is an arithmetic number, because the mean of its divisors is an integer number (35453460).

Almost surely, 2^977997456 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 977997456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418138400).

977997456 is an abundant number, since it is smaller than the sum of its proper divisors (1858279344).

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

977997456 is a wasteful number, since it uses less digits than its factorization.

977997456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23453 (or 23441 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The square root of 977997456 is about 31272.9508681224. The cubic root of 977997456 is about 992.6113611359.

The spelling of 977997456 in words is "nine hundred seventy-seven million, nine hundred ninety-seven thousand, four hundred fifty-six".