314408448 has 180 divisors, whose sum is σ = 950825304. Its totient is φ = 99993600.

The previous prime is 314408441. The next prime is 314408449. The reversal of 314408448 is 844804413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314408441) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4428253 + ... + 4428323.

Almost surely, 2^314408448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475412652).

314408448 is an abundant number, since it is smaller than the sum of its proper divisors (636416856).

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

314408448 is an equidigital number, since it uses as much as digits as its factorization.

314408448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 314408448 is about 17731.5664282657. The cubic root of 314408448 is about 679.9830214907.

The spelling of 314408448 in words is "three hundred fourteen million, four hundred eight thousand, four hundred forty-eight".