978480 has 100 divisors (see below), whose sum is σ = 3420912. Its totient is φ = 259200.

The previous prime is 978479. The next prime is 978491. The reversal of 978480 is 84879.

It is a super-2 number, since 2×978480² = 1914846220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 978480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6405 + ... + 6555.

2⁹⁷⁸⁴⁸⁰ is an apocalyptic number.

978480 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 978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710456).

978480 is an abundant number, since it is smaller than the sum of its proper divisors (2442432).

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

978480 is a wasteful number, since it uses less digits than its factorization.

978480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 978480 is about 989.1814798105. The cubic root of 978480 is about 99.2774585794.

The spelling of 978480 in words is "nine hundred seventy-eight thousand, four hundred eighty".