314264448 has 160 divisors (see below), whose sum is σ = 990815760. Its totient is φ = 98537472.

The previous prime is 314264359. The next prime is 314264459. The reversal of 314264448 is 844462413.

314264448 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 644 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175365 + ... + 177147.

Almost surely, 2^314264448 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 314264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495407880).

314264448 is an abundant number, since it is smaller than the sum of its proper divisors (676551312).

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

314264448 is a wasteful number, since it uses less digits than its factorization.

314264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1805 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 314264448 is about 17727.5054082632. The cubic root of 314264448 is about 679.8791942257.

The spelling of 314264448 in words is "three hundred fourteen million, two hundred sixty-four thousand, four hundred forty-eight".