438183045 has 48 divisors (see below), whose sum is σ = 789076080. Its totient is φ = 224750592.

The previous prime is 438183043. The next prime is 438183049. The reversal of 438183045 is 540381834.

438183045 is a `hidden beast` number, since 438 + 183 + 0 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13905441 + 424277604 = 3729^2 + 20598^2 .

It is not a de Polignac number, because 438183045 - 2¹ = 438183043 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438183043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146707 + ... + 149663.

It is an arithmetic number, because the mean of its divisors is an integer number (16439085).

Almost surely, 2^438183045 is an apocalyptic number.

438183045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

438183045 is a deficient number, since it is larger than the sum of its proper divisors (350893035).

438183045 is a wasteful number, since it uses less digits than its factorization.

438183045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 438183045 is about 20932.8221938658. The cubic root of 438183045 is about 759.5421093389.

The spelling of 438183045 in words is "four hundred thirty-eight million, one hundred eighty-three thousand, forty-five".