312438 has 32 divisors (see below), whose sum is σ = 734976. Its totient is φ = 86688.

The previous prime is 312427. The next prime is 312451. The reversal of 312438 is 834213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (22968).

2³¹²⁴³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367488).

312438 is an abundant number, since it is smaller than the sum of its proper divisors (422538).

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

312438 is a wasteful number, since it uses less digits than its factorization.

312438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its digits is 576, while the sum is 21.

The square root of 312438 is about 558.9615371383. The cubic root of 312438 is about 67.8559522809.

312438 divided by its sum of digits (21) gives a triangular number (14878 = T₁₇₂).

The spelling of 312438 in words is "three hundred twelve thousand, four hundred thirty-eight".