976992480 has 144 divisors (see below), whose sum is σ = 3342306240. Its totient is φ = 259881984.

The previous prime is 976992469. The next prime is 976992481. The reversal of 976992480 is 84299679.

976992480 is a `hidden beast` number, since 9 + 76 + 9 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976992481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939801 + ... + 940839.

It is an arithmetic number, because the mean of its divisors is an integer number (23210460).

Almost surely, 2^976992480 is an apocalyptic number.

976992480 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 976992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671153120).

976992480 is an abundant number, since it is smaller than the sum of its proper divisors (2365313760).

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

976992480 is a wasteful number, since it uses less digits than its factorization.

976992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 976992480 is about 31256.8789228867. The cubic root of 976992480 is about 992.2712469315.

The spelling of 976992480 in words is "nine hundred seventy-six million, nine hundred ninety-two thousand, four hundred eighty".