314459040 has 192 divisors, whose sum is σ = 1168957440. Its totient is φ = 69534720.

The previous prime is 314459039. The next prime is 314459051. The reversal of 314459040 is 40954413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314458989 and 314459007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102651 + ... + 105669.

It is an arithmetic number, because the mean of its divisors is an integer number (6088320).

Almost surely, 2^314459040 is an apocalyptic number.

314459040 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 314459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584478720).

314459040 is an abundant number, since it is smaller than the sum of its proper divisors (854498400).

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

314459040 is a wasteful number, since it uses less digits than its factorization.

314459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 314459040 is about 17732.9929791899. The cubic root of 314459040 is about 680.0194919441.

The spelling of 314459040 in words is "three hundred fourteen million, four hundred fifty-nine thousand, forty".