438609249 has 45 divisors (see below), whose sum is σ = 713469603. Its totient is φ = 268405488.

The previous prime is 438609239. The next prime is 438609251. The reversal of 438609249 is 942906834.

The square root of 438609249 is 20943.

It is a perfect power (a square), and thus also a powerful number.

438609249 is a `hidden beast` number, since 4 + 38 + 609 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64883025 + 373726224 = 8055^2 + 19332^2 .

It is not a de Polignac number, because 438609249 - 2⁷ = 438609121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (438609229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2450242 + ... + 2450420.

Almost surely, 2^438609249 is an apocalyptic number.

438609249 is the 20943-rd square number.

438609249 is the 10472-nd centered octagonal number.

It is an amenable number.

438609249 is a deficient number, since it is larger than the sum of its proper divisors (274860354).

438609249 is an equidigital number, since it uses as much as digits as its factorization.

438609249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The cubic root of 438609249 is about 759.7882887905.

The spelling of 438609249 in words is "four hundred thirty-eight million, six hundred nine thousand, two hundred forty-nine".