405724 has 12 divisors (see below), whose sum is σ = 774648. Its totient is φ = 184400.

The previous prime is 405719. The next prime is 405731. The reversal of 405724 is 427504.

It is a super-2 number, since 2×405724² = 329223928352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 405695 and 405704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4567 + ... + 4654.

It is an arithmetic number, because the mean of its divisors is an integer number (64554).

2⁴⁰⁵⁷²⁴ is an apocalyptic number.

405724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405724 is a deficient number, since it is larger than the sum of its proper divisors (368924).

405724 is a wasteful number, since it uses less digits than its factorization.

405724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 405724 is about 636.9646771996. The cubic root of 405724 is about 74.0304233317.

The spelling of 405724 in words is "four hundred five thousand, seven hundred twenty-four".