976480 has 48 divisors (see below), whose sum is σ = 2449440. Its totient is φ = 366592.

The previous prime is 976477. The next prime is 976483. The reversal of 976480 is 84679.

976480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (976477) and next prime (976483).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2541 + ... + 2899.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2⁹⁷⁶⁴⁸⁰ 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 976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224720).

976480 is an abundant number, since it is smaller than the sum of its proper divisors (1472960).

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

976480 is a wasteful number, since it uses less digits than its factorization.

976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 976480 is about 988.1700258559. The cubic root of 976480 is about 99.2097718435.

The spelling of 976480 in words is "nine hundred seventy-six thousand, four hundred eighty".