314404000 has 96 divisors (see below), whose sum is σ = 782623296. Its totient is φ = 124115200.

The previous prime is 314403983. The next prime is 314404019. The reversal of 314404000 is 404413.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331527 + ... + 332473.

It is an arithmetic number, because the mean of its divisors is an integer number (8152326).

Almost surely, 2^314404000 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 314404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391311648).

314404000 is an abundant number, since it is smaller than the sum of its proper divisors (468219296).

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

314404000 is an equidigital number, since it uses as much as digits as its factorization.

314404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 314404000 is about 17731.4410017911. The cubic root of 314404000 is about 679.9798148564.

Adding to 314404000 its reverse (404413), we get a palindrome (314808413).

The spelling of 314404000 in words is "three hundred fourteen million, four hundred four thousand".