438267648 has 144 divisors (see below), whose sum is σ = 1435836416. Its totient is φ = 115568640.

The previous prime is 438267637. The next prime is 438267649. The reversal of 438267648 is 846762834.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 438267597 and 438267606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438267649) 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, 66753 + ... + 73023.

Almost surely, 2^438267648 is an apocalyptic number.

438267648 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 438267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717918208).

438267648 is an abundant number, since it is smaller than the sum of its proper divisors (997568768).

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

438267648 is a wasteful number, since it uses less digits than its factorization.

438267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6296 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 438267648 is about 20934.8429179681. The cubic root of 438267648 is about 759.5909895246.

The spelling of 438267648 in words is "four hundred thirty-eight million, two hundred sixty-seven thousand, six hundred forty-eight".