314204000 has 192 divisors, whose sum is σ = 869424192. Its totient is φ = 110592000.

The previous prime is 314203997. The next prime is 314204021. The reversal of 314204000 is 402413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1627904 + ... + 1628096.

It is an arithmetic number, because the mean of its divisors is an integer number (4528251).

Almost surely, 2^314204000 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 314204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434712096).

314204000 is an abundant number, since it is smaller than the sum of its proper divisors (555220192).

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

314204000 is a wasteful number, since it uses less digits than its factorization.

314204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 314204000 is about 17725.8004050593. The cubic root of 314204000 is about 679.8356003957.

Adding to 314204000 its reverse (402413), we get a palindrome (314606413).

The spelling of 314204000 in words is "three hundred fourteen million, two hundred four thousand".