314104000 has 224 divisors, whose sum is σ = 912936960. Its totient is φ = 104832000.

The previous prime is 314103971. The next prime is 314104001. The reversal of 314104000 is 401413.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×314104000² = 197322645632000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314104001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3975961 + ... + 3976039.

Almost surely, 2^314104000 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 314104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

314104000 is an abundant number, since it is smaller than the sum of its proper divisors (598832960).

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

314104000 is an equidigital number, since it uses as much as digits as its factorization.

314104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 314104000 is about 17722.9794334926. The cubic root of 314104000 is about 679.7634702153.

Adding to 314104000 its reverse (401413), we get a palindrome (314505413).

The spelling of 314104000 in words is "three hundred fourteen million, one hundred four thousand".