438041601 has 40 divisors (see below), whose sum is σ = 723026304. Its totient is φ = 262880640.

The previous prime is 438041543. The next prime is 438041609. The reversal of 438041601 is 106140834.

It is not a de Polignac number, because 438041601 - 2¹⁸ = 437779457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (438041609) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24756 + ... + 38586.

Almost surely, 2^438041601 is an apocalyptic number.

It is an amenable number.

438041601 is a deficient number, since it is larger than the sum of its proper divisors (284984703).

438041601 is a wasteful number, since it uses less digits than its factorization.

438041601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883 (or 13874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 438041601 is about 20929.4433991924. The cubic root of 438041601 is about 759.4603746719.

The spelling of 438041601 in words is "four hundred thirty-eight million, forty-one thousand, six hundred one".