442133736 has 64 divisors (see below), whose sum is σ = 1215406080. Its totient is φ = 132914880.

The previous prime is 442133729. The next prime is 442133753. The reversal of 442133736 is 637331244.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 442133697 and 442133706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26935 + ... + 40121.

It is an arithmetic number, because the mean of its divisors is an integer number (18990720).

Almost surely, 2^442133736 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 442133736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607703040).

442133736 is an abundant number, since it is smaller than the sum of its proper divisors (773272344).

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

442133736 is a wasteful number, since it uses less digits than its factorization.

442133736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13330 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 442133736 is about 21026.9763874885. The cubic root of 442133736 is about 761.8179792709.

The spelling of 442133736 in words is "four hundred forty-two million, one hundred thirty-three thousand, seven hundred thirty-six".