314408640 has 448 divisors, whose sum is σ = 1269918720. Its totient is φ = 64143360.

The previous prime is 314408629. The next prime is 314408641. The reversal of 314408640 is 46804413.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 314408598 and 314408607.

It is not an unprimeable number, because it can be changed into a prime (314408641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5154210 + ... + 5154270.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 2^314408640 is an apocalyptic number.

314408640 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 314408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634959360).

314408640 is an abundant number, since it is smaller than the sum of its proper divisors (955510080).

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

314408640 is a wasteful number, since it uses less digits than its factorization.

314408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 314408640 is about 17731.5718423382. The cubic root of 314408640 is about 679.9831599059.

The spelling of 314408640 in words is "three hundred fourteen million, four hundred eight thousand, six hundred forty".