313804800 has 288 divisors, whose sum is σ = 1157738400. Its totient is φ = 83312640.

The previous prime is 313804789. The next prime is 313804811. The reversal of 313804800 is 8408313.

313804800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313804789) and next prime (313804811).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382287 + ... + 1382513.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^313804800 is an apocalyptic number.

313804800 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 313804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578869200).

313804800 is an abundant number, since it is smaller than the sum of its proper divisors (843933600).

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

313804800 is a wasteful number, since it uses less digits than its factorization.

313804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 313804800 is about 17714.5364037561. The cubic root of 313804800 is about 679.5475652468.

The spelling of 313804800 in words is "three hundred thirteen million, eight hundred four thousand, eight hundred".