314020800 has 210 divisors, whose sum is σ = 1154737848. Its totient is φ = 83704320.

The previous prime is 314020781. The next prime is 314020823. The reversal of 314020800 is 8020413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128389 + ... + 130811.

Almost surely, 2^314020800 is an apocalyptic number.

314020800 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 314020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577368924).

314020800 is an abundant number, since it is smaller than the sum of its proper divisors (840717048).

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

314020800 is a wasteful number, since it uses less digits than its factorization.

314020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314020800 is about 17720.6320429041. The cubic root of 314020800 is about 679.7034462371.

The spelling of 314020800 in words is "three hundred fourteen million, twenty thousand, eight hundred".