405672 has 16 divisors (see below), whose sum is σ = 1014240. Its totient is φ = 135216.

The previous prime is 405667. The next prime is 405677. The reversal of 405672 is 276504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405667) and next prime (405677).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 16903 = 405672 / (4 + 0 + 5 + 6 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (405677) by changing a digit.

405672 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 3 ways as a sum of consecutive naturals, for example, 8428 + ... + 8475.

It is an arithmetic number, because the mean of its divisors is an integer number (63390).

2⁴⁰⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

405672 is an abundant number, since it is smaller than the sum of its proper divisors (608568).

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

405672 is a wasteful number, since it uses less digits than its factorization.

405672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 405672 is about 636.9238573016. The cubic root of 405672 is about 74.0272604702.

The spelling of 405672 in words is "four hundred five thousand, six hundred seventy-two".