314138880 has 432 divisors, whose sum is σ = 1235916864. Its totient is φ = 72990720.

The previous prime is 314138873. The next prime is 314138893. The reversal of 314138880 is 88831413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4688607 + ... + 4688673.

Almost surely, 2^314138880 is an apocalyptic number.

314138880 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 314138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617958432).

314138880 is an abundant number, since it is smaller than the sum of its proper divisors (921777984).

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

314138880 is a wasteful number, since it uses less digits than its factorization.

314138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 314138880 is about 17723.9634393665. The cubic root of 314138880 is about 679.7886309607.

The spelling of 314138880 in words is "three hundred fourteen million, one hundred thirty-eight thousand, eight hundred eighty".