313040448 has 168 divisors, whose sum is σ = 1086014592. Its totient is φ = 84160512.

The previous prime is 313040407. The next prime is 313040467. The reversal of 313040448 is 844040313.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66261 + ... + 70827.

Almost surely, 2^313040448 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 313040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543007296).

313040448 is an abundant number, since it is smaller than the sum of its proper divisors (772974144).

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

313040448 is a wasteful number, since it uses less digits than its factorization.

313040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 313040448 is about 17692.9491040923. The cubic root of 313040448 is about 678.9953792660.

The spelling of 313040448 in words is "three hundred thirteen million, forty thousand, four hundred forty-eight".