438724 has 36 divisors (see below), whose sum is σ = 922320. Its totient is φ = 180960.

The previous prime is 438721. The next prime is 438733. The reversal of 438724 is 427834.

It is a super-3 number, since 3×438724³ = 253335138944302272, which contains 333 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 438692 and 438701.

It is not an unprimeable number, because it can be changed into a prime (438721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7407 + ... + 7465.

It is an arithmetic number, because the mean of its divisors is an integer number (25620).

2⁴³⁸⁷²⁴ is an apocalyptic number.

438724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

438724 is an abundant number, since it is smaller than the sum of its proper divisors (483596).

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

438724 is a wasteful number, since it uses less digits than its factorization.

438724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 438724 is about 662.3624385486. The cubic root of 438724 is about 75.9854542800.

The spelling of 438724 in words is "four hundred thirty-eight thousand, seven hundred twenty-four".