314789280 has 192 divisors, whose sum is σ = 1086680448. Its totient is φ = 76124160.

The previous prime is 314789263. The next prime is 314789297. The reversal of 314789280 is 82987413.

It is an interprime number because it is at equal distance from previous prime (314789263) and next prime (314789297).

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, 380227 + ... + 381053.

It is an arithmetic number, because the mean of its divisors is an integer number (5659794).

Almost surely, 2^314789280 is an apocalyptic number.

314789280 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 314789280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543340224).

314789280 is an abundant number, since it is smaller than the sum of its proper divisors (771891168).

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

314789280 is a wasteful number, since it uses less digits than its factorization.

314789280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 314789280 is about 17742.3019926953. The cubic root of 314789280 is about 680.2574572975.

The spelling of 314789280 in words is "three hundred fourteen million, seven hundred eighty-nine thousand, two hundred eighty".