977487456 has 192 divisors, whose sum is σ = 2950214400. Its totient is φ = 280627200.

The previous prime is 977487449. The next prime is 977487473. The reversal of 977487456 is 654784779.

It is a junction number, because it is equal to n+sod(n) for n = 977487396 and 977487405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1806546 + ... + 1807086.

It is an arithmetic number, because the mean of its divisors is an integer number (15365700).

Almost surely, 2^977487456 is an apocalyptic number.

977487456 is a gapful number since it is divisible by the number (96) 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 977487456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475107200).

977487456 is an abundant number, since it is smaller than the sum of its proper divisors (1972726944).

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

977487456 is a wasteful number, since it uses less digits than its factorization.

977487456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 57.

The square root of 977487456 is about 31264.7957933520. The cubic root of 977487456 is about 992.4387908795.

The spelling of 977487456 in words is "nine hundred seventy-seven million, four hundred eighty-seven thousand, four hundred fifty-six".