431144505 has 64 divisors (see below), whose sum is σ = 840499200. Its totient is φ = 207956160.

The previous prime is 431144503. The next prime is 431144543. The reversal of 431144505 is 505441134.

It is a happy number.

431144505 is a `hidden beast` number, since 43 + 114 + 4 + 505 = 666.

It is not a de Polignac number, because 431144505 - 2¹ = 431144503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (431144503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336456 + ... + 337734.

It is an arithmetic number, because the mean of its divisors is an integer number (13132800).

Almost surely, 2^431144505 is an apocalyptic number.

431144505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431144505 is a deficient number, since it is larger than the sum of its proper divisors (409354695).

431144505 is a wasteful number, since it uses less digits than its factorization.

431144505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 431144505 is about 20764.0194808231. The cubic root of 431144505 is about 755.4532926963.

Adding to 431144505 its reverse (505441134), we get a palindrome (936585639).

It can be divided in two parts, 431144 and 505, that added together give a square (431649 = 657²).

The spelling of 431144505 in words is "four hundred thirty-one million, one hundred forty-four thousand, five hundred five".