431100144 has 150 divisors (see below), whose sum is σ = 1326593664. Its totient is φ = 135129600.

The previous prime is 431100133. The next prime is 431100181. The reversal of 431100144 is 441001134.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 373969 + ... + 375119.

Almost surely, 2^431100144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663296832).

431100144 is an abundant number, since it is smaller than the sum of its proper divisors (895493520).

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

431100144 is a wasteful number, since it uses less digits than its factorization.

431100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 431100144 is about 20762.9512353133. The cubic root of 431100144 is about 755.4273819614.

Adding to 431100144 its reverse (441001134), we get a palindrome (872101278).

The spelling of 431100144 in words is "four hundred thirty-one million, one hundred thousand, one hundred forty-four".