444457431 has 48 divisors (see below), whose sum is σ = 730424448. Its totient is φ = 258033600.

The previous prime is 444457421. The next prime is 444457439. The reversal of 444457431 is 134754444.

444457431 is a `hidden beast` number, since 44 + 44 + 574 + 3 + 1 = 666.

It is not a de Polignac number, because 444457431 - 2¹¹ = 444455383 is a prime.

It is a super-2 number, since 2×444457431² = 395084815942239522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444457439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244516 + ... + 246326.

It is an arithmetic number, because the mean of its divisors is an integer number (15217176).

Almost surely, 2^444457431 is an apocalyptic number.

444457431 is a deficient number, since it is larger than the sum of its proper divisors (285967017).

444457431 is a wasteful number, since it uses less digits than its factorization.

444457431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1929 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 444457431 is about 21082.1590687482. The cubic root of 444457431 is about 763.1502612440.

The spelling of 444457431 in words is "four hundred forty-four million, four hundred fifty-seven thousand, four hundred thirty-one".