431649 has 15 divisors (see below), whose sum is σ = 653763. Its totient is φ = 283824.

The previous prime is 431621. The next prime is 431657. The reversal of 431649 is 946134.

The square root of 431649 is 657.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 186624 = 495^2 + 432^2 .

It is not a de Polignac number, because 431649 - 2⁵ = 431617 is a prime.

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

It is a Curzon number.

431649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (431659) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5877 + ... + 5949.

2⁴³¹⁶⁴⁹ is an apocalyptic number.

431649 is the 657-th square number.

431649 is the 329-th centered octagonal number.

It is an amenable number.

431649 is a deficient number, since it is larger than the sum of its proper divisors (222114).

431649 is an frugal number, since it uses more digits than its factorization.

431649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 76 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The cubic root of 431649 is about 75.5747837292.

It can be divided in two parts, 43 and 1649, that multiplied together give a palindrome (70907).

The spelling of 431649 in words is "four hundred thirty-one thousand, six hundred forty-nine".