978408 has 48 divisors (see below), whose sum is σ = 2695680. Its totient is φ = 320544.

The previous prime is 978403. The next prime is 978413. The reversal of 978408 is 804879.

It is an interprime number because it is at equal distance from previous prime (978403) and next prime (978413).

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

It is not an unprimeable number, because it can be changed into a prime (978403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7641 + ... + 7767.

It is an arithmetic number, because the mean of its divisors is an integer number (56160).

2⁹⁷⁸⁴⁰⁸ 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 978408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347840).

978408 is an abundant number, since it is smaller than the sum of its proper divisors (1717272).

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

978408 is a wasteful number, since it uses less digits than its factorization.

978408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

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

The square root of 978408 is about 989.1450854147. The cubic root of 978408 is about 99.2750234582.

The spelling of 978408 in words is "nine hundred seventy-eight thousand, four hundred eight".