42490820 has 48 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 15650304.

The previous prime is 42490817. The next prime is 42490823. The reversal of 42490820 is 2809424.

It is an interprime number because it is at equal distance from previous prime (42490817) and next prime (42490823).

It is not an unprimeable number, because it can be changed into a prime (42490823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14651 + ... + 17309.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^42490820 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 42490820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

42490820 is an abundant number, since it is smaller than the sum of its proper divisors (54035260).

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

42490820 is a wasteful number, since it uses less digits than its factorization.

42490820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 42490820 is about 6518.4982933188. The cubic root of 42490820 is about 348.9514742208.

The spelling of 42490820 in words is "forty-two million, four hundred ninety thousand, eight hundred twenty".