313350480 has 240 divisors, whose sum is σ = 1104929280. Its totient is φ = 79488000.

The previous prime is 313350431. The next prime is 313350487. The reversal of 313350480 is 84053313.

It is a happy number.

313350480 is a `hidden beast` number, since 3 + 133 + 50 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×313350480⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313350487) 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 47 ways as a sum of consecutive naturals, for example, 2254251 + ... + 2254389.

It is an arithmetic number, because the mean of its divisors is an integer number (4603872).

Almost surely, 2^313350480 is an apocalyptic number.

313350480 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 313350480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552464640).

313350480 is an abundant number, since it is smaller than the sum of its proper divisors (791578800).

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

313350480 is a wasteful number, since it uses less digits than its factorization.

313350480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 313350480 is about 17701.7083921298. The cubic root of 313350480 is about 679.2194619569.

The spelling of 313350480 in words is "three hundred thirteen million, three hundred fifty thousand, four hundred eighty".