314314600 has 48 divisors (see below), whose sum is σ = 733262220. Its totient is φ = 125299200.

The previous prime is 314314577. The next prime is 314314607. The reversal of 314314600 is 6413413.

It can be written as a sum of positive squares in 6 ways, for example, as 79673476 + 234641124 = 8926^2 + 15318^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (314314607) 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, 60090 + ... + 65110.

Almost surely, 2^314314600 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 314314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366631110).

314314600 is an abundant number, since it is smaller than the sum of its proper divisors (418947620).

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

314314600 is a wasteful number, since it uses less digits than its factorization.

314314600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 314314600 is about 17728.9198768566. The cubic root of 314314600 is about 679.9153585537.

The spelling of 314314600 in words is "three hundred fourteen million, three hundred fourteen thousand, six hundred".