431432505 has 144 divisors (see below), whose sum is σ = 932166144. Its totient is φ = 183617280.

The previous prime is 431432501. The next prime is 431432513. The reversal of 431432505 is 505234134.

It is not a de Polignac number, because 431432505 - 2² = 431432501 is a prime.

It is a super-2 number, since 2×431432505² = 372268012741150050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431432501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2383515 + ... + 2383695.

It is an arithmetic number, because the mean of its divisors is an integer number (6473376).

Almost surely, 2^431432505 is an apocalyptic number.

431432505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431432505 is an abundant number, since it is smaller than the sum of its proper divisors (500733639).

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

431432505 is a wasteful number, since it uses less digits than its factorization.

431432505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 431432505 is about 20770.9533965102. The cubic root of 431432505 is about 755.6214668767.

Adding to 431432505 its reverse (505234134), we get a palindrome (936666639).

The spelling of 431432505 in words is "four hundred thirty-one million, four hundred thirty-two thousand, five hundred five".