314278440 has 128 divisors (see below), whose sum is σ = 1124444160. Its totient is φ = 68707584.

The previous prime is 314278397. The next prime is 314278451. The reversal of 314278440 is 44872413.

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, 11187 + ... + 27453.

It is an arithmetic number, because the mean of its divisors is an integer number (8784720).

Almost surely, 2^314278440 is an apocalyptic number.

314278440 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 314278440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562222080).

314278440 is an abundant number, since it is smaller than the sum of its proper divisors (810165720).

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

314278440 is a wasteful number, since it uses less digits than its factorization.

314278440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16311 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 314278440 is about 17727.9000448446. The cubic root of 314278440 is about 679.8892841660.

The spelling of 314278440 in words is "three hundred fourteen million, two hundred seventy-eight thousand, four hundred forty".