432126016 has 56 divisors (see below), whose sum is σ = 982472000. Its totient is φ = 184730112.

The previous prime is 432126011. The next prime is 432126029. The reversal of 432126016 is 610621234.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (432126011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222586 + ... + 224518.

Almost surely, 2^432126016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491236000).

432126016 is an abundant number, since it is smaller than the sum of its proper divisors (550345984).

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

432126016 is a wasteful number, since it uses less digits than its factorization.

432126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 432126016 is about 20787.6409435992. The cubic root of 432126016 is about 756.0261275182.

The spelling of 432126016 in words is "four hundred thirty-two million, one hundred twenty-six thousand, sixteen".