976448 has 56 divisors (see below), whose sum is σ = 2255520. Its totient is φ = 414720.

The previous prime is 976447. The next prime is 976453. The reversal of 976448 is 844679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 976448.

It is not an unprimeable number, because it can be changed into a prime (976447) 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, 13340 + ... + 13412.

2⁹⁷⁶⁴⁴⁸ 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 976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127760).

976448 is an abundant number, since it is smaller than the sum of its proper divisors (1279072).

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

976448 is a wasteful number, since it uses less digits than its factorization.

976448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 976448 is about 988.1538341777. The cubic root of 976448 is about 99.2086881048.

Subtracting from 976448 its reverse (844679), we obtain a square (131769 = 363²).

The spelling of 976448 in words is "nine hundred seventy-six thousand, four hundred forty-eight".