42504592 has 40 divisors (see below), whose sum is σ = 89256440. Its totient is φ = 19491840.

The previous prime is 42504587. The next prime is 42504593. The reversal of 42504592 is 29540524.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 36433296 = 2464^2 + 6036^2 .

It is not an unprimeable number, because it can be changed into a prime (42504593) 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, 37084 + ... + 38212.

It is an arithmetic number, because the mean of its divisors is an integer number (2231411).

Almost surely, 2^42504592 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 42504592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44628220).

42504592 is an abundant number, since it is smaller than the sum of its proper divisors (46751848).

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

42504592 is a wasteful number, since it uses less digits than its factorization.

42504592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 42504592 is about 6519.5545860128. The cubic root of 42504592 is about 348.9891705246.

The spelling of 42504592 in words is "forty-two million, five hundred four thousand, five hundred ninety-two".