431074944 has 96 divisors (see below), whose sum is σ = 1252208100. Its totient is φ = 142331904.

The previous prime is 431074913. The next prime is 431074949. The reversal of 431074944 is 449470134.

It can be written as a sum of positive squares in 2 ways, for example, as 430977600 + 97344 = 20760^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 431074899 and 431074908.

It is not an unprimeable number, because it can be changed into a prime (431074949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123852 + ... + 127284.

Almost surely, 2^431074944 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 431074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626104050).

431074944 is an abundant number, since it is smaller than the sum of its proper divisors (821133156).

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

431074944 is a wasteful number, since it uses less digits than its factorization.

431074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3547 counting only the distinct ones).

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

The square root of 431074944 is about 20762.3443762982. The cubic root of 431074944 is about 755.4126621480.

The spelling of 431074944 in words is "four hundred thirty-one million, seventy-four thousand, nine hundred forty-four".