976465280 has 256 divisors, whose sum is σ = 2820096000. Its totient is φ = 316293120.

The previous prime is 976465277. The next prime is 976465291. The reversal of 976465280 is 82564679.

It is a super-3 number, since 3×976465280³ (a number of 28 digits) contains 333 as substring.

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, 10971476 + ... + 10971564.

It is an arithmetic number, because the mean of its divisors is an integer number (11016000).

Almost surely, 2^976465280 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 976465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410048000).

976465280 is an abundant number, since it is smaller than the sum of its proper divisors (1843630720).

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

976465280 is a wasteful number, since it uses less digits than its factorization.

976465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 976465280 is about 31248.4444412838. Note that the first 5 decimals coincide. The cubic root of 976465280 is about 992.0927332664.

The spelling of 976465280 in words is "nine hundred seventy-six million, four hundred sixty-five thousand, two hundred eighty".