407924 has 24 divisors (see below), whose sum is σ = 795648. Its totient is φ = 181440.

The previous prime is 407923. The next prime is 407947. The reversal of 407924 is 429704.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 407893 and 407902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3149 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (33152).

2⁴⁰⁷⁹²⁴ is an apocalyptic number.

407924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

407924 is a deficient number, since it is larger than the sum of its proper divisors (387724).

407924 is a wasteful number, since it uses less digits than its factorization.

407924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 407924 is about 638.6892828285. The cubic root of 407924 is about 74.1639898598.

It can be divided in two parts, 407 and 924, that added together give a palindrome (1331).

The spelling of 407924 in words is "four hundred seven thousand, nine hundred twenty-four".