314314000 has 320 divisors, whose sum is σ = 1026934272. Its totient is φ = 89856000.

The previous prime is 314313973. The next prime is 314314027. The reversal of 314314000 is 413413.

It is an interprime number because it is at equal distance from previous prime (314313973) and next prime (314314027).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001922 + ... + 2002078.

Almost surely, 2^314314000 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 314314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513467136).

314314000 is an abundant number, since it is smaller than the sum of its proper divisors (712620272).

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

314314000 is a wasteful number, since it uses less digits than its factorization.

314314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314314000 is about 17728.9029553439. The cubic root of 314314000 is about 679.9149259198.

Adding to 314314000 its reverse (413413), we get a palindrome (314727413).

The spelling of 314314000 in words is "three hundred fourteen million, three hundred fourteen thousand".