431378641 has 16 divisors (see below), whose sum is σ = 463095360. Its totient is φ = 400610880.

The previous prime is 431378611. The next prime is 431378653. The reversal of 431378641 is 146873134.

It is a cyclic number.

It is not a de Polignac number, because 431378641 - 2¹⁹ = 430854353 is a prime.

It is a super-2 number, since 2×431378641² = 372175063822013762, which contains 22 as substring.

Its product of digits (48384) is a multiple of the sum of its prime divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 431378641.

It is not an unprimeable number, because it can be changed into a prime (431378611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540855 + ... + 541651.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 2^431378641 is an apocalyptic number.

It is an amenable number.

431378641 is a deficient number, since it is larger than the sum of its proper divisors (31716719).

431378641 is a wasteful number, since it uses less digits than its factorization.

431378641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its digits is 48384, while the sum is 37.

The square root of 431378641 is about 20769.6567376546. The cubic root of 431378641 is about 755.5900193246.

The spelling of 431378641 in words is "four hundred thirty-one million, three hundred seventy-eight thousand, six hundred forty-one".