436238448 has 80 divisors (see below), whose sum is σ = 1183257600. Its totient is φ = 138309120.

The previous prime is 436238441. The next prime is 436238477. The reversal of 436238448 is 844832634.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436238441) 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, 85308 + ... + 90276.

It is an arithmetic number, because the mean of its divisors is an integer number (14790720).

Almost surely, 2^436238448 is an apocalyptic number.

436238448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436238448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591628800).

436238448 is an abundant number, since it is smaller than the sum of its proper divisors (747019152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

436238448 is a wasteful number, since it uses less digits than its factorization.

436238448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5064 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 436238448 is about 20886.3220314157. The cubic root of 436238448 is about 758.4168614617.

The spelling of 436238448 in words is "four hundred thirty-six million, two hundred thirty-eight thousand, four hundred forty-eight".