42414592 has 80 divisors (see below), whose sum is σ = 98109792. Its totient is φ = 18104320.

The previous prime is 42414563. The next prime is 42414611. The reversal of 42414592 is 29541424.

It is a super-2 number, since 2×42414592² = 3597995229052928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95523 + ... + 95965.

Almost surely, 2^42414592 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 42414592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49054896).

42414592 is an abundant number, since it is smaller than the sum of its proper divisors (55695200).

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

42414592 is a wasteful number, since it uses less digits than its factorization.

42414592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 42414592 is about 6512.6486163465. The cubic root of 42414592 is about 348.7426777838.

The spelling of 42414592 in words is "forty-two million, four hundred fourteen thousand, five hundred ninety-two".