42488292 has 72 divisors (see below), whose sum is σ = 125828640. Its totient is φ = 11034240.

The previous prime is 42488279. The next prime is 42488297. The reversal of 42488292 is 29288424.

It is a self number, because there is not a number n which added to its sum of digits gives 42488292.

It is not an unprimeable number, because it can be changed into a prime (42488297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3184 + ... + 9752.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 2^42488292 is an apocalyptic number.

42488292 is a gapful number since it is divisible by the number (42) 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 42488292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62914320).

42488292 is an abundant number, since it is smaller than the sum of its proper divisors (83340348).

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

42488292 is a wasteful number, since it uses less digits than its factorization.

42488292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601 (or 6592 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 42488292 is about 6518.3043807420. The cubic root of 42488292 is about 348.9445537705.

The spelling of 42488292 in words is "forty-two million, four hundred eighty-eight thousand, two hundred ninety-two".