200413440 has 180 divisors, whose sum is σ = 717486924. Its totient is φ = 53415936.

The previous prime is 200413439. The next prime is 200413457. The reversal of 200413440 is 44314002.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 95883264 = 10224^2 + 9792^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102714 + ... + 104646.

Almost surely, 2^200413440 is an apocalyptic number.

200413440 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 200413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358743462).

200413440 is an abundant number, since it is smaller than the sum of its proper divisors (517073484).

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

200413440 is an equidigital number, since it uses as much as digits as its factorization.

200413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200413440 is about 14156.7453886831. The cubic root of 200413440 is about 585.2062389200.

Adding to 200413440 its reverse (44314002), we get a palindrome (244727442).

The spelling of 200413440 in words is "two hundred million, four hundred thirteen thousand, four hundred forty".