42574464 has 128 divisors (see below), whose sum is σ = 127948800. Its totient is φ = 13934592.

The previous prime is 42574451. The next prime is 42574487. The reversal of 42574464 is 46447524.

42574464 is a `hidden beast` number, since 42 + 574 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335169 + ... + 335295.

It is an arithmetic number, because the mean of its divisors is an integer number (999600).

Almost surely, 2^42574464 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 42574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63974400).

42574464 is an abundant number, since it is smaller than the sum of its proper divisors (85374336).

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

42574464 is a wasteful number, since it uses less digits than its factorization.

42574464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 42574464 is about 6524.9110338762. The cubic root of 42574464 is about 349.1802967119.

The spelling of 42574464 in words is "forty-two million, five hundred seventy-four thousand, four hundred sixty-four".