442802048 has 64 divisors (see below), whose sum is σ = 954389520. Its totient is φ = 203427840.

The previous prime is 442802033. The next prime is 442802069. The reversal of 442802048 is 840208244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 467111 + ... + 468057.

Almost surely, 2^442802048 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 442802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477194760).

442802048 is an abundant number, since it is smaller than the sum of its proper divisors (511587472).

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

442802048 is a wasteful number, since it uses less digits than its factorization.

442802048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 442802048 is about 21042.8621627382. The cubic root of 442802048 is about 762.2016307494.

The spelling of 442802048 in words is "four hundred forty-two million, eight hundred two thousand, forty-eight".