42974880 has 192 divisors, whose sum is σ = 149361408. Its totient is φ = 10321920.

The previous prime is 42974851. The next prime is 42974923. The reversal of 42974880 is 8847924.

It is a super-2 number, since 2×42974880² = 3693680622028800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442992 + ... + 443088.

It is an arithmetic number, because the mean of its divisors is an integer number (777924).

Almost surely, 2^42974880 is an apocalyptic number.

42974880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74680704).

42974880 is an abundant number, since it is smaller than the sum of its proper divisors (106386528).

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

42974880 is a wasteful number, since it uses less digits than its factorization.

42974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 42974880 is about 6555.5228624420. The cubic root of 42974880 is about 350.2715715410.

The spelling of 42974880 in words is "forty-two million, nine hundred seventy-four thousand, eight hundred eighty".