201404240 has 40 divisors (see below), whose sum is σ = 477110088. Its totient is φ = 79040000.

The previous prime is 201404233. The next prime is 201404257. The reversal of 201404240 is 42404102.

It can be written as a sum of positive squares in 4 ways, for example, as 43349056 + 158055184 = 6584^2 + 12572^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 19511 + ... + 27990.

Almost surely, 2^201404240 is an apocalyptic number.

201404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201404240 is an abundant number, since it is smaller than the sum of its proper divisors (275705848).

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

201404240 is a wasteful number, since it uses less digits than its factorization.

201404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47567 (or 47561 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 201404240 is about 14191.6961636022. The cubic root of 201404240 is about 586.1690310569.

Adding to 201404240 its reverse (42404102), we get a palindrome (243808342).

The spelling of 201404240 in words is "two hundred one million, four hundred four thousand, two hundred forty".