42417380 has 48 divisors (see below), whose sum is σ = 95664240. Its totient is φ = 15740928.

The previous prime is 42417371. The next prime is 42417383. The reversal of 42417380 is 8371424.

42417380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 141376 + 42276004 = 376^2 + 6502^2 .

It is not an unprimeable number, because it can be changed into a prime (42417383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23966 + ... + 25674.

It is an arithmetic number, because the mean of its divisors is an integer number (1993005).

Almost surely, 2^42417380 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 42417380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832120).

42417380 is an abundant number, since it is smaller than the sum of its proper divisors (53246860).

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

42417380 is a wasteful number, since it uses less digits than its factorization.

42417380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 42417380 is about 6512.8626578487. The cubic root of 42417380 is about 348.7503188120.

The spelling of 42417380 in words is "forty-two million, four hundred seventeen thousand, three hundred eighty".