314987904 has 384 divisors, whose sum is σ = 1168577280. Its totient is φ = 79073280.

The previous prime is 314987903. The next prime is 314987923. The reversal of 314987904 is 409789413.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 314987904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314987903) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4701279 + ... + 4701345.

It is an arithmetic number, because the mean of its divisors is an integer number (3043170).

Almost surely, 2^314987904 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 314987904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584288640).

314987904 is an abundant number, since it is smaller than the sum of its proper divisors (853589376).

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

314987904 is a wasteful number, since it uses less digits than its factorization.

314987904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 314987904 is about 17747.8985798319. The cubic root of 314987904 is about 680.4005022459.

The spelling of 314987904 in words is "three hundred fourteen million, nine hundred eighty-seven thousand, nine hundred four".