314653248 has 560 divisors, whose sum is σ = 1239194880. Its totient is φ = 76640256.

The previous prime is 314653247. The next prime is 314653253. The reversal of 314653248 is 842356413.

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

Its product of digits (69120) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314653247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10850098 + ... + 10850126.

It is an arithmetic number, because the mean of its divisors is an integer number (2212848).

Almost surely, 2^314653248 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 314653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619597440).

314653248 is an abundant number, since it is smaller than the sum of its proper divisors (924541632).

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

314653248 is a wasteful number, since it uses less digits than its factorization.

314653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 314653248 is about 17738.4680285531. The cubic root of 314653248 is about 680.1594551089.

The spelling of 314653248 in words is "three hundred fourteen million, six hundred fifty-three thousand, two hundred forty-eight".