313456000 has 256 divisors, whose sum is σ = 922259520. Its totient is φ = 104448000.

The previous prime is 313455997. The next prime is 313456001. The reversal of 313456000 is 654313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313456001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287932 + ... + 2288068.

Almost surely, 2^313456000 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 313456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461129760).

313456000 is an abundant number, since it is smaller than the sum of its proper divisors (608803520).

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

313456000 is a wasteful number, since it uses less digits than its factorization.

313456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 313456000 is about 17704.6886445371. The cubic root of 313456000 is about 679.2956952257.

The spelling of 313456000 in words is "three hundred thirteen million, four hundred fifty-six thousand".