978354432 has 108 divisors (see below), whose sum is σ = 3077356464. Its totient is φ = 296463360.

The previous prime is 978354409. The next prime is 978354439. The reversal of 978354432 is 234453879.

978354432 is a `hidden beast` number, since 9 + 78 + 3 + 544 + 32 = 666.

It is a super-2 number, since 2×978354432² = 1914354789228085248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (978354439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6043 + ... + 44645.

Almost surely, 2^978354432 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 978354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538678232).

978354432 is an abundant number, since it is smaller than the sum of its proper divisors (2099002032).

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

978354432 is a wasteful number, since it uses less digits than its factorization.

978354432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38636 (or 38619 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 978354432 is about 31278.6577717139. The cubic root of 978354432 is about 992.7321165045.

The spelling of 978354432 in words is "nine hundred seventy-eight million, three hundred fifty-four thousand, four hundred thirty-two".