413406042 has 96 divisors (see below), whose sum is σ = 1004363712. Its totient is φ = 113008896.

The previous prime is 413406023. The next prime is 413406083. The reversal of 413406042 is 240604314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669718 + ... + 670334.

It is an arithmetic number, because the mean of its divisors is an integer number (10462122).

Almost surely, 2^413406042 is an apocalyptic number.

413406042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413406042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502181856).

413406042 is an abundant number, since it is smaller than the sum of its proper divisors (590957670).

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

413406042 is a wasteful number, since it uses less digits than its factorization.

413406042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 413406042 is about 20332.3889889998. The cubic root of 413406042 is about 744.9473962528.

The spelling of 413406042 in words is "four hundred thirteen million, four hundred six thousand, forty-two".