413724 has 24 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 131824.

The previous prime is 413719. The next prime is 413737. The reversal of 413724 is 427314.

It is a self number, because there is not a number n which added to its sum of digits gives 413724.

It is a congruent number.

It is an unprimeable number.

413724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2⁴¹³⁷²⁴ is an apocalyptic number.

It is an amenable number.

413724 is an abundant number, since it is smaller than the sum of its proper divisors (594276).

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

413724 is a wasteful number, since it uses less digits than its factorization.

413724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1527 counting only the distinct ones).

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

The square root of 413724 is about 643.2138058220. The cubic root of 413724 is about 74.5138331444.

The spelling of 413724 in words is "four hundred thirteen thousand, seven hundred twenty-four".