42407910 has 48 divisors (see below), whose sum is σ = 110807424. Its totient is φ = 11252736.

The previous prime is 42407909. The next prime is 42407917. The reversal of 42407910 is 1970424.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42407917) 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, 19014 + ... + 21126.

It is an arithmetic number, because the mean of its divisors is an integer number (2308488).

Almost surely, 2^42407910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42407910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55403712).

42407910 is an abundant number, since it is smaller than the sum of its proper divisors (68399514).

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

42407910 is a wasteful number, since it uses less digits than its factorization.

42407910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42407910 is about 6512.1355944114. The cubic root of 42407910 is about 348.7243631673.

The spelling of 42407910 in words is "forty-two million, four hundred seven thousand, nine hundred ten".