314430048 has 72 divisors (see below), whose sum is σ = 896863968. Its totient is φ = 104493312.

The previous prime is 314430043. The next prime is 314430133. The reversal of 314430048 is 840034413.

314430048 is a `hidden beast` number, since 314 + 4 + 300 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314430041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105961 + ... + 108887.

It is an arithmetic number, because the mean of its divisors is an integer number (12456444).

Almost surely, 2^314430048 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 314430048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448431984).

314430048 is an abundant number, since it is smaller than the sum of its proper divisors (582433920).

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

314430048 is a wasteful number, since it uses less digits than its factorization.

314430048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 314430048 is about 17732.1755010489. The cubic root of 314430048 is about 679.9985928460.

The spelling of 314430048 in words is "three hundred fourteen million, four hundred thirty thousand, forty-eight".