314460 has 36 divisors (see below), whose sum is σ = 954408. Its totient is φ = 83808.

The previous prime is 314453. The next prime is 314467. The reversal of 314460 is 64413.

It is an interprime number because it is at equal distance from previous prime (314453) and next prime (314467).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314467) by changing a digit.

314460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694 + ... + 1053.

2³¹⁴⁴⁶⁰ is an apocalyptic number.

314460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314460 is an abundant number, since it is smaller than the sum of its proper divisors (639948).

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

314460 is a wasteful number, since it uses less digits than its factorization.

314460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314460 is about 560.7673314308. The cubic root of 314460 is about 68.0020183945.

Adding to 314460 its reverse (64413), we get a palindrome (378873).

Subtracting from 314460 its reverse (64413), we obtain a cube (250047 = 63³).

The spelling of 314460 in words is "three hundred fourteen thousand, four hundred sixty".