200149840 has 120 divisors (see below), whose sum is σ = 539956512. Its totient is φ = 68413440.

The previous prime is 200149811. The next prime is 200149847. The reversal of 200149840 is 48941002.

200149840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200149799 and 200149808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200149847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253927 + ... + 254713.

Almost surely, 2^200149840 is an apocalyptic number.

200149840 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 200149840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269978256).

200149840 is an abundant number, since it is smaller than the sum of its proper divisors (339806672).

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

200149840 is a wasteful number, since it uses less digits than its factorization.

200149840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 200149840 is about 14147.4322758584. The cubic root of 200149840 is about 584.9495561248.

The spelling of 200149840 in words is "two hundred million, one hundred forty-nine thousand, eight hundred forty".