200874240 has 432 divisors, whose sum is σ = 826495488. Its totient is φ = 44089344.

The previous prime is 200874239. The next prime is 200874257. The reversal of 200874240 is 42478002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3790054 + ... + 3790106.

It is an arithmetic number, because the mean of its divisors is an integer number (1913184).

Almost surely, 2^200874240 is an apocalyptic number.

200874240 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 200874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413247744).

200874240 is an abundant number, since it is smaller than the sum of its proper divisors (625621248).

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

200874240 is a wasteful number, since it uses less digits than its factorization.

200874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 200874240 is about 14173.0109715614. The cubic root of 200874240 is about 585.6544068415.

The spelling of 200874240 in words is "two hundred million, eight hundred seventy-four thousand, two hundred forty".