313450080 has 192 divisors, whose sum is σ = 1058158080. Its totient is φ = 77717504.

The previous prime is 313450073. The next prime is 313450099. The reversal of 313450080 is 80054313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313450080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872941 + ... + 873299.

It is an arithmetic number, because the mean of its divisors is an integer number (5511240).

Almost surely, 2^313450080 is an apocalyptic number.

313450080 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 313450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529079040).

313450080 is an abundant number, since it is smaller than the sum of its proper divisors (744708000).

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

313450080 is a wasteful number, since it uses less digits than its factorization.

313450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 313450080 is about 17704.5214563964. The cubic root of 313450080 is about 679.2914187554.

The spelling of 313450080 in words is "three hundred thirteen million, four hundred fifty thousand, eighty".