314464200 has 96 divisors (see below), whose sum is σ = 978017760. Its totient is φ = 83584000.

The previous prime is 314464177. The next prime is 314464247. The reversal of 314464200 is 2464413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239947 + ... + 241253.

It is an arithmetic number, because the mean of its divisors is an integer number (10187685).

Almost surely, 2^314464200 is an apocalyptic number.

314464200 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 314464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489008880).

314464200 is an abundant number, since it is smaller than the sum of its proper divisors (663553560).

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

314464200 is a wasteful number, since it uses less digits than its factorization.

314464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 314464200 is about 17733.1384701073. The cubic root of 314464200 is about 680.0232114337.

The spelling of 314464200 in words is "three hundred fourteen million, four hundred sixty-four thousand, two hundred".