314404104 has 64 divisors (see below), whose sum is σ = 900403200. Its totient is φ = 89619264.

The previous prime is 314404093. The next prime is 314404127. The reversal of 314404104 is 401404413.

It is a super-2 number, since 2×314404104² = 197699881224085632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 78519 + ... + 82425.

It is an arithmetic number, because the mean of its divisors is an integer number (14068800).

Almost surely, 2^314404104 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 314404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450201600).

314404104 is an abundant number, since it is smaller than the sum of its proper divisors (585999096).

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

314404104 is a wasteful number, since it uses less digits than its factorization.

314404104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 314404104 is about 17731.4439344347. The cubic root of 314404104 is about 679.9798898320.

Adding to 314404104 its reverse (401404413), we get a palindrome (715808517).

The spelling of 314404104 in words is "three hundred fourteen million, four hundred four thousand, one hundred four".