314392848 has 320 divisors, whose sum is σ = 1103738880. Its totient is φ = 75271680.

The previous prime is 314392847. The next prime is 314392853. The reversal of 314392848 is 848293413.

It is a super-2 number, since 2×314392848² = 197685725747102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (314392847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8497086 + ... + 8497122.

It is an arithmetic number, because the mean of its divisors is an integer number (3449184).

Almost surely, 2^314392848 is an apocalyptic number.

314392848 is a gapful number since it is divisible by the number (38) 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 314392848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551869440).

314392848 is an abundant number, since it is smaller than the sum of its proper divisors (789346032).

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

314392848 is a wasteful number, since it uses less digits than its factorization.

314392848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 314392848 is about 17731.1265293551. The cubic root of 314392848 is about 679.9717750684.

The spelling of 314392848 in words is "three hundred fourteen million, three hundred ninety-two thousand, eight hundred forty-eight".