200814000 has 80 divisors (see below), whose sum is σ = 647443680. Its totient is φ = 53548800.

The previous prime is 200813969. The next prime is 200814007. The reversal of 200814000 is 418002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (200814007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10735 + ... + 22734.

It is an arithmetic number, because the mean of its divisors is an integer number (8093046).

Almost surely, 2^200814000 is an apocalyptic number.

200814000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200814000 is an abundant number, since it is smaller than the sum of its proper divisors (446629680).

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

200814000 is a wasteful number, since it uses less digits than its factorization.

200814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33495 (or 33479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 200814000 is about 14170.8856462820. The cubic root of 200814000 is about 585.5958571925.

The spelling of 200814000 in words is "two hundred million, eight hundred fourteen thousand".