313462380 has 192 divisors, whose sum is σ = 1152184320. Its totient is φ = 61689600.

The previous prime is 313462379. The next prime is 313462393. The reversal of 313462380 is 83264313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85995 + ... + 89565.

It is an arithmetic number, because the mean of its divisors is an integer number (6000960).

Almost surely, 2^313462380 is an apocalyptic number.

313462380 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 313462380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576092160).

313462380 is an abundant number, since it is smaller than the sum of its proper divisors (838721940).

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

313462380 is a wasteful number, since it uses less digits than its factorization.

313462380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 313462380 is about 17704.8688218806. The cubic root of 313462380 is about 679.3003039291.

The spelling of 313462380 in words is "three hundred thirteen million, four hundred sixty-two thousand, three hundred eighty".