313438800 has 120 divisors (see below), whose sum is σ = 1008819360. Its totient is φ = 83187200.

The previous prime is 313438777. The next prime is 313438837. The reversal of 313438800 is 8834313.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 322315 + ... + 323285.

It is an arithmetic number, because the mean of its divisors is an integer number (8406828).

Almost surely, 2^313438800 is an apocalyptic number.

313438800 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 313438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504409680).

313438800 is an abundant number, since it is smaller than the sum of its proper divisors (695380560).

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

313438800 is a wasteful number, since it uses less digits than its factorization.

313438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 313438800 is about 17704.2028908392. The cubic root of 313438800 is about 679.2832701967.

The spelling of 313438800 in words is "three hundred thirteen million, four hundred thirty-eight thousand, eight hundred".