314880000 has 260 divisors, whose sum is σ = 1074724728. Its totient is φ = 81920000.

The previous prime is 314879993. The next prime is 314880011. The reversal of 314880000 is 88413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7679980 + ... + 7680020.

Almost surely, 2^314880000 is an apocalyptic number.

314880000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537362364).

314880000 is an abundant number, since it is smaller than the sum of its proper divisors (759844728).

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

314880000 is an frugal number, since it uses more digits than its factorization.

314880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 314880000 is about 17744.8584102551. The cubic root of 314880000 is about 680.3227994517.

The spelling of 314880000 in words is "three hundred fourteen million, eight hundred eighty thousand".