314445900 has 72 divisors (see below), whose sum is σ = 920097360. Its totient is φ = 82903040.

The previous prime is 314445893. The next prime is 314445913. The reversal of 314445900 is 9544413.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 20812 + ... + 32588.

It is an arithmetic number, because the mean of its divisors is an integer number (12779130).

Almost surely, 2^314445900 is an apocalyptic number.

314445900 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 314445900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460048680).

314445900 is an abundant number, since it is smaller than the sum of its proper divisors (605651460).

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

314445900 is a wasteful number, since it uses less digits than its factorization.

314445900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11883 (or 11876 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 314445900 is about 17732.6224794868. The cubic root of 314445900 is about 680.0100200369.

The spelling of 314445900 in words is "three hundred fourteen million, four hundred forty-five thousand, nine hundred".