978426432 has 224 divisors, whose sum is σ = 3207715200. Its totient is φ = 290635776.

The previous prime is 978426403. The next prime is 978426439. The reversal of 978426432 is 234624879.

It is not an unprimeable number, because it can be changed into a prime (978426439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557268 + ... + 559020.

Almost surely, 2^978426432 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 978426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603857600).

978426432 is an abundant number, since it is smaller than the sum of its proper divisors (2229288768).

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

978426432 is a wasteful number, since it uses less digits than its factorization.

978426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1794 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 978426432 is about 31279.8086950672. The cubic root of 978426432 is about 992.7564686059.

The spelling of 978426432 in words is "nine hundred seventy-eight million, four hundred twenty-six thousand, four hundred thirty-two".