978432 has 120 divisors (see below), whose sum is σ = 3265416. Its totient is φ = 258048.

The previous prime is 978427. The next prime is 978449. The reversal of 978432 is 234879.

Its product of digits (12096) is a multiple of the sum of its prime factors (48).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 978393 and 978402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 978432.

It is an unprimeable number.

978432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75258 + ... + 75270.

2⁹⁷⁸⁴³² 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 978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632708).

978432 is an abundant number, since it is smaller than the sum of its proper divisors (2286984).

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

978432 is a wasteful number, since it uses less digits than its factorization.

978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 978432 is about 989.1572170287. The cubic root of 978432 is about 99.2758351785.

Adding to 978432 its product of digits (12096), we get a triangular number (990528 = T₁₄₀₇).

The spelling of 978432 in words is "nine hundred seventy-eight thousand, four hundred thirty-two".