200875440 has 80 divisors (see below), whose sum is σ = 632968416. Its totient is φ = 52684800.

The previous prime is 200875439. The next prime is 200875463. The reversal of 200875440 is 44578002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 200875398 and 200875407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7780 + ... + 21500.

Almost surely, 2^200875440 is an apocalyptic number.

200875440 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 200875440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316484208).

200875440 is an abundant number, since it is smaller than the sum of its proper divisors (432092976).

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

200875440 is a wasteful number, since it uses less digits than its factorization.

200875440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798 (or 13792 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 200875440 is about 14173.0533054808. The cubic root of 200875440 is about 585.6555730502.

The spelling of 200875440 in words is "two hundred million, eight hundred seventy-five thousand, four hundred forty".