976577472 has 280 divisors, whose sum is σ = 3199532336. Its totient is φ = 292626432.

The previous prime is 976577387. The next prime is 976577479. The reversal of 976577472 is 274775679.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976577479) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2897688 + ... + 2898024.

Almost surely, 2^976577472 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 976577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599766168).

976577472 is an abundant number, since it is smaller than the sum of its proper divisors (2222954864).

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

976577472 is a wasteful number, since it uses less digits than its factorization.

976577472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 398 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The square root of 976577472 is about 31250.2395510818. The cubic root of 976577472 is about 992.1307276555.

The spelling of 976577472 in words is "nine hundred seventy-six million, five hundred seventy-seven thousand, four hundred seventy-two".