126444432 has 80 divisors (see below), whose sum is σ = 347442048. Its totient is φ = 39536640.

The previous prime is 126444431. The next prime is 126444457. The reversal of 126444432 is 234444621.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126444432.

It is not an unprimeable number, because it can be changed into a prime (126444431) 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, 57432 + ... + 59592.

Almost surely, 2^126444432 is an apocalyptic number.

126444432 is a gapful number since it is divisible by the number (12) 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 126444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173721024).

126444432 is an abundant number, since it is smaller than the sum of its proper divisors (220997616).

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

126444432 is a wasteful number, since it uses less digits than its factorization.

126444432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2242 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 126444432 is about 11244.7513089441. The cubic root of 126444432 is about 501.9185383390.

The spelling of 126444432 in words is "one hundred twenty-six million, four hundred forty-four thousand, four hundred thirty-two".