200461440 has 128 divisors (see below), whose sum is σ = 644656320. Its totient is φ = 52981760.

The previous prime is 200461411. The next prime is 200461441. The reversal of 200461440 is 44164002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200461441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251122 + ... + 251918.

Almost surely, 2^200461440 is an apocalyptic number.

200461440 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 200461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322328160).

200461440 is an abundant number, since it is smaller than the sum of its proper divisors (444194880).

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

200461440 is a wasteful number, since it uses less digits than its factorization.

200461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 200461440 is about 14158.4405920991. The cubic root of 200461440 is about 585.2529551103.

The spelling of 200461440 in words is "two hundred million, four hundred sixty-one thousand, four hundred forty".