42578592 has 48 divisors (see below), whose sum is σ = 127737792. Its totient is φ = 12165120.

The previous prime is 42578539. The next prime is 42578597. The reversal of 42578592 is 29587524.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42578597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31009 + ... + 32352.

It is an arithmetic number, because the mean of its divisors is an integer number (2661204).

Almost surely, 2^42578592 is an apocalyptic number.

42578592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42578592 is an abundant number, since it is smaller than the sum of its proper divisors (85159200).

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

42578592 is a wasteful number, since it uses less digits than its factorization.

42578592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63381 (or 63373 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 42578592 is about 6525.2273523610. The cubic root of 42578592 is about 349.1915817996.

The spelling of 42578592 in words is "forty-two million, five hundred seventy-eight thousand, five hundred ninety-two".