312400 has 60 divisors (see below), whose sum is σ = 830304. Its totient is φ = 112000.

The previous prime is 312397. The next prime is 312401. The reversal of 312400 is 4213.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312401) 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, 4365 + ... + 4435.

2³¹²⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152).

312400 is an abundant number, since it is smaller than the sum of its proper divisors (517904).

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

312400 is a wasteful number, since it uses less digits than its factorization.

312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 312400 is about 558.9275444993. The cubic root of 312400 is about 67.8532011957.

Adding to 312400 its reverse (4213), we get a palindrome (316613).

It can be divided in two parts, 3 and 12400, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 312400 in words is "three hundred twelve thousand, four hundred", and thus it is an iban number.