399340800 has 216 divisors, whose sum is σ = 1464975680. Its totient is φ = 106444800.

The previous prime is 399340783. The next prime is 399340819. The reversal of 399340800 is 8043993.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 171645 + ... + 173955.

Almost surely, 2^399340800 is an apocalyptic number.

399340800 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 399340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732487840).

399340800 is an abundant number, since it is smaller than the sum of its proper divisors (1065634880).

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

399340800 is a wasteful number, since it uses less digits than its factorization.

399340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 399340800 is about 19983.5132046395. The cubic root of 399340800 is about 736.4013249197.

The spelling of 399340800 in words is "three hundred ninety-nine million, three hundred forty thousand, eight hundred".