42978304 has 66 divisors (see below), whose sum is σ = 92401580. Its totient is φ = 19924992.

The previous prime is 42978251. The next prime is 42978311. The reversal of 42978304 is 40387924.

It is a happy number.

It is a super-2 number, since 2×42978304² = 3694269229432832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 914409 + ... + 914455.

Almost surely, 2^42978304 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 42978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46200790).

42978304 is an abundant number, since it is smaller than the sum of its proper divisors (49423276).

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

42978304 is an equidigital number, since it uses as much as digits as its factorization.

42978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 42978304 is about 6555.7840110852. The cubic root of 42978304 is about 350.2808738591.

The spelling of 42978304 in words is "forty-two million, nine hundred seventy-eight thousand, three hundred four".