313467840 has 448 divisors, whose sum is σ = 1299179520. Its totient is φ = 69672960.

The previous prime is 313467829. The next prime is 313467841. The reversal of 313467840 is 48764313.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 313467795 and 313467804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313467841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4294044 + ... + 4294116.

Almost surely, 2^313467840 is an apocalyptic number.

313467840 is a gapful number since it is divisible by the number (30) 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 313467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649589760).

313467840 is an abundant number, since it is smaller than the sum of its proper divisors (985711680).

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

313467840 is a wasteful number, since it uses less digits than its factorization.

313467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 313467840 is about 17705.0230160822. The cubic root of 313467840 is about 679.3042480048.

The spelling of 313467840 in words is "three hundred thirteen million, four hundred sixty-seven thousand, eight hundred forty".