431667144 has 56 divisors (see below), whose sum is σ = 1213525110. Its totient is φ = 143887104.

The previous prime is 431667143. The next prime is 431667161. The reversal of 431667144 is 441766134.

It can be written as a sum of positive squares in only one way, i.e., 253764900 + 177902244 = 15930^2 + 13338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 431667099 and 431667108.

It is not an unprimeable number, because it can be changed into a prime (431667143) 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 13 ways as a sum of consecutive naturals, for example, 31177 + ... + 42840.

Almost surely, 2^431667144 is an apocalyptic number.

It is an amenable number.

431667144 is an abundant number, since it is smaller than the sum of its proper divisors (781857966).

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

431667144 is an equidigital number, since it uses as much as digits as its factorization.

431667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74041 (or 74022 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 431667144 is about 20776.6008769481. The cubic root of 431667144 is about 755.7584262166.

The spelling of 431667144 in words is "four hundred thirty-one million, six hundred sixty-seven thousand, one hundred forty-four".