314231904 has 144 divisors (see below), whose sum is σ = 1042423200. Its totient is φ = 89752320.

The previous prime is 314231873. The next prime is 314231933. The reversal of 314231904 is 409132413.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97194 + ... + 100374.

It is an arithmetic number, because the mean of its divisors is an integer number (7239050).

Almost surely, 2^314231904 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 314231904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521211600).

314231904 is an abundant number, since it is smaller than the sum of its proper divisors (728191296).

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

314231904 is a wasteful number, since it uses less digits than its factorization.

314231904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 314231904 is about 17726.5874888541. The cubic root of 314231904 is about 679.8557248701.

The spelling of 314231904 in words is "three hundred fourteen million, two hundred thirty-one thousand, nine hundred four".