314400 has 72 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 83200.

The previous prime is 314399. The next prime is 314401. The reversal of 314400 is 4413.

It is an interprime number because it is at equal distance from previous prime (314399) and next prime (314401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314400.

It is not an unprimeable number, because it can be changed into a prime (314401) 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, 2335 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (14322).

2³¹⁴⁴⁰⁰ is an apocalyptic number.

314400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

314400 is an abundant number, since it is smaller than the sum of its proper divisors (716784).

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

314400 is a wasteful number, since it uses less digits than its factorization.

314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 314400 is about 560.7138307550. The cubic root of 314400 is about 67.9976931167.

Adding to 314400 its reverse (4413), we get a palindrome (318813).

The spelling of 314400 in words is "three hundred fourteen thousand, four hundred", and thus it is an iban number.