200704000 has 192 divisors, whose sum is σ = 582737220. Its totient is φ = 68812800.

The previous prime is 200703953. The next prime is 200704027. The reversal of 200704000 is 407002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 135675904 + 65028096 = 11648^2 + 8064^2 .

It is a super-3 number, since 3×200704000³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28671997 + ... + 28672003.

Almost surely, 2^200704000 is an apocalyptic number.

200704000 is a gapful number since it is divisible by the number (20) 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 200704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291368610).

200704000 is an abundant number, since it is smaller than the sum of its proper divisors (382033220).

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

200704000 is an frugal number, since it uses more digits than its factorization.

200704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 200704000 is about 14167.0039175543. The cubic root of 200704000 is about 585.4889136037.

Multiplying 200704000 by its product of nonzero digits (56), we get a cube (11239424000 = 2240³).

The spelling of 200704000 in words is "two hundred million, seven hundred four thousand".