313627280 has 40 divisors (see below), whose sum is σ = 730217400. Its totient is φ = 125273088.

The previous prime is 313627277. The next prime is 313627283. The reversal of 313627280 is 82726313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313627277) and next prime (313627283).

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 313148416 = 692^2 + 17696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (313627283) 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 7 ways as a sum of consecutive naturals, for example, 63956 + ... + 68684.

It is an arithmetic number, because the mean of its divisors is an integer number (18255435).

Almost surely, 2^313627280 is an apocalyptic number.

It is an amenable number.

313627280 is an abundant number, since it is smaller than the sum of its proper divisors (416590120).

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

313627280 is a wasteful number, since it uses less digits than its factorization.

313627280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 313627280 is about 17709.5251206801. The cubic root of 313627280 is about 679.4194006060.

The spelling of 313627280 in words is "three hundred thirteen million, six hundred twenty-seven thousand, two hundred eighty".