313884480 has 224 divisors, whose sum is σ = 1226905344. Its totient is φ = 66207744.

The previous prime is 313884469. The next prime is 313884499. The reversal of 313884480 is 84488313.

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 (39).

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, 85564 + ... + 89156.

It is an arithmetic number, because the mean of its divisors is an integer number (5477256).

Almost surely, 2^313884480 is an apocalyptic number.

313884480 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 313884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613452672).

313884480 is an abundant number, since it is smaller than the sum of its proper divisors (913020864).

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

313884480 is a wasteful number, since it uses less digits than its factorization.

313884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 313884480 is about 17716.7852614406. The cubic root of 313884480 is about 679.6050763362.

The spelling of 313884480 in words is "three hundred thirteen million, eight hundred eighty-four thousand, four hundred eighty".