201789440 has 104 divisors (see below), whose sum is σ = 495391680. Its totient is φ = 78872576.

The previous prime is 201789437. The next prime is 201789451. The reversal of 201789440 is 44987102.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 201789440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1208237 + ... + 1208403.

Almost surely, 2^201789440 is an apocalyptic number.

201789440 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 201789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247695840).

201789440 is an abundant number, since it is smaller than the sum of its proper divisors (293602240).

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

201789440 is an equidigital number, since it uses as much as digits as its factorization.

201789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 201789440 is about 14205.2609972503. The cubic root of 201789440 is about 586.5424897877.

The spelling of 201789440 in words is "two hundred one million, seven hundred eighty-nine thousand, four hundred forty".