413742 has 16 divisors (see below), whose sum is σ = 945792. Its totient is φ = 118200.

The previous prime is 413737. The next prime is 413753. The reversal of 413742 is 247314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4884 + ... + 4967.

It is an arithmetic number, because the mean of its divisors is an integer number (59112).

2⁴¹³⁷⁴² is an apocalyptic number.

413742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

413742 is an abundant number, since it is smaller than the sum of its proper divisors (532050).

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

413742 is a wasteful number, since it uses less digits than its factorization.

413742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863.

The product of its digits is 672, while the sum is 21.

The square root of 413742 is about 643.2277979068. The cubic root of 413742 is about 74.5149137598.

Adding to 413742 its product of digits (672), we get a palindrome (414414).

The spelling of 413742 in words is "four hundred thirteen thousand, seven hundred forty-two".