201294240 has 192 divisors, whose sum is σ = 731566080. Its totient is φ = 45573120.

The previous prime is 201294217. The next prime is 201294251. The reversal of 201294240 is 42492102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201294240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466825 + ... + 467255.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^201294240 is an apocalyptic number.

201294240 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 201294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

201294240 is an abundant number, since it is smaller than the sum of its proper divisors (530271840).

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

201294240 is a wasteful number, since it uses less digits than its factorization.

201294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 201294240 is about 14187.8201285469. The cubic root of 201294240 is about 586.0622965684.

The spelling of 201294240 in words is "two hundred one million, two hundred ninety-four thousand, two hundred forty".