201435040 has 96 divisors (see below), whose sum is σ = 509483520. Its totient is φ = 74993664.

The previous prime is 201435029. The next prime is 201435049. The reversal of 201435040 is 40534102.

It is a junction number, because it is equal to n+sod(n) for n = 201434999 and 201435017.

It is not an unprimeable number, because it can be changed into a prime (201435049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279801 + ... + 280519.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^201435040 is an apocalyptic number.

201435040 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 201435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

201435040 is an abundant number, since it is smaller than the sum of its proper divisors (308048480).

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

201435040 is a wasteful number, since it uses less digits than its factorization.

201435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 201435040 is about 14192.7812637270. The cubic root of 201435040 is about 586.1989097492.

Adding to 201435040 its reverse (40534102), we get a palindrome (241969142).

The spelling of 201435040 in words is "two hundred one million, four hundred thirty-five thousand, forty".