314089488 has 200 divisors, whose sum is σ = 962806680. Its totient is φ = 98703360.

The previous prime is 314089463. The next prime is 314089493. The reversal of 314089488 is 884980413.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 307371024 = 2592^2 + 17532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2292556 + ... + 2292692.

Almost surely, 2^314089488 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 314089488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481403340).

314089488 is an abundant number, since it is smaller than the sum of its proper divisors (648717192).

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

314089488 is a wasteful number, since it uses less digits than its factorization.

314089488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 314089488 is about 17722.5700167893. The cubic root of 314089488 is about 679.7530014116.

The spelling of 314089488 in words is "three hundred fourteen million, eighty-nine thousand, four hundred eighty-eight".