313212480 has 224 divisors, whose sum is σ = 1148583936. Its totient is φ = 70834176.

The previous prime is 313212479. The next prime is 313212547. The reversal of 313212480 is 84212313.

313212480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 313212480.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 853257 + ... + 853623.

Almost surely, 2^313212480 is an apocalyptic number.

313212480 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 313212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574291968).

313212480 is an abundant number, since it is smaller than the sum of its proper divisors (835371456).

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

313212480 is a wasteful number, since it uses less digits than its factorization.

313212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 313212480 is about 17697.8100340127. The cubic root of 313212480 is about 679.1197375748.

Adding to 313212480 its reverse (84212313), we get a palindrome (397424793).

The spelling of 313212480 in words is "three hundred thirteen million, two hundred twelve thousand, four hundred eighty".