431038944 has 144 divisors (see below), whose sum is σ = 1483399008. Its totient is φ = 115900416.

The previous prime is 431038913. The next prime is 431038967. The reversal of 431038944 is 449830134.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 431038899 and 431038908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27984 + ... + 40560.

It is an arithmetic number, because the mean of its divisors is an integer number (10301382).

Almost surely, 2^431038944 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 431038944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741699504).

431038944 is an abundant number, since it is smaller than the sum of its proper divisors (1052360064).

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

431038944 is a wasteful number, since it uses less digits than its factorization.

431038944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 431038944 is about 20761.4774040770. The cubic root of 431038944 is about 755.3916328481.

The spelling of 431038944 in words is "four hundred thirty-one million, thirty-eight thousand, nine hundred forty-four".