42447600 has 180 divisors, whose sum is σ = 158811016. Its totient is φ = 10437120.

The previous prime is 42447599. The next prime is 42447607. The reversal of 42447600 is 674424.

42447600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42447607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46347 + ... + 47253.

Almost surely, 2^42447600 is an apocalyptic number.

42447600 is a gapful number since it is divisible by the number (40) 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 42447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79405508).

42447600 is an abundant number, since it is smaller than the sum of its proper divisors (116363416).

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

42447600 is a wasteful number, since it uses less digits than its factorization.

42447600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42447600 is about 6515.1822691311. The cubic root of 42447600 is about 348.8331208203.

The spelling of 42447600 in words is "forty-two million, four hundred forty-seven thousand, six hundred".