314269056 has 192 divisors, whose sum is σ = 978588000. Its totient is φ = 96509952.

The previous prime is 314269001. The next prime is 314269093. The reversal of 314269056 is 650962413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×314269056² = 197530079118262272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 314269056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768180 + ... + 768588.

Almost surely, 2^314269056 is an apocalyptic number.

314269056 is a gapful number since it is divisible by the number (36) 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 314269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489294000).

314269056 is an abundant number, since it is smaller than the sum of its proper divisors (664318944).

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

314269056 is a wasteful number, since it uses less digits than its factorization.

314269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 314269056 is about 17727.6353753116. The cubic root of 314269056 is about 679.8825171894.

The spelling of 314269056 in words is "three hundred fourteen million, two hundred sixty-nine thousand, fifty-six".