977495040 has 220 divisors, whose sum is σ = 3504275676. Its totient is φ = 260554752.

The previous prime is 977495023. The next prime is 977495107. The reversal of 977495040 is 40594779.

It can be written as a sum of positive squares in 2 ways, for example, as 260112384 + 717382656 = 16128^2 + 26784^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413542 + ... + 415898.

Almost surely, 2^977495040 is an apocalyptic number.

977495040 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 977495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752137838).

977495040 is an abundant number, since it is smaller than the sum of its proper divisors (2526780636).

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

977495040 is a wasteful number, since it uses less digits than its factorization.

977495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 977495040 is about 31264.9170796917. The cubic root of 977495040 is about 992.4413575403.

The spelling of 977495040 in words is "nine hundred seventy-seven million, four hundred ninety-five thousand, forty".