201415431 has 16 divisors (see below), whose sum is σ = 313184000. Its totient is φ = 115093944.

The previous prime is 201415399. The next prime is 201415441. The reversal of 201415431 is 134514102.

It is not a de Polignac number, because 201415431 - 2⁵ = 201415399 is a prime.

It is a super-2 number, since 2×201415431² = 81136351689831522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201415398 and 201415407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201415441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96841 + ... + 98898.

It is an arithmetic number, because the mean of its divisors is an integer number (19574000).

Almost surely, 2^201415431 is an apocalyptic number.

201415431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201415431 is a deficient number, since it is larger than the sum of its proper divisors (111768569).

201415431 is an equidigital number, since it uses as much as digits as its factorization.

201415431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195763 (or 195749 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 201415431 is about 14192.0904379869. The cubic root of 201415431 is about 586.1798876575.

Adding to 201415431 its reverse (134514102), we get a palindrome (335929533).

The spelling of 201415431 in words is "two hundred one million, four hundred fifteen thousand, four hundred thirty-one".