313675408 has 40 divisors (see below), whose sum is σ = 642007520. Its totient is φ = 148055040.

The previous prime is 313675393. The next prime is 313675429. The reversal of 313675408 is 804576313.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91648 + ... + 95008.

It is an arithmetic number, because the mean of its divisors is an integer number (16050188).

Almost surely, 2^313675408 is an apocalyptic number.

313675408 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 313675408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321003760).

313675408 is an abundant number, since it is smaller than the sum of its proper divisors (328332112).

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

313675408 is a wasteful number, since it uses less digits than its factorization.

313675408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 313675408 is about 17710.8838853401. The cubic root of 313675408 is about 679.4541524983.

The spelling of 313675408 in words is "three hundred thirteen million, six hundred seventy-five thousand, four hundred eight".