442626048 has 78 divisors (see below), whose sum is σ = 1278647864. Its totient is φ = 147529728.

The previous prime is 442626013. The next prime is 442626049. The reversal of 442626048 is 840626244.

It is a happy number.

442626048 is a `hidden beast` number, since 4 + 42 + 6 + 2 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442626049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30861 + ... + 42867.

Almost surely, 2^442626048 is an apocalyptic number.

442626048 is a gapful number since it is divisible by the number (48) 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 442626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639323932).

442626048 is an abundant number, since it is smaller than the sum of its proper divisors (836021816).

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

442626048 is a wasteful number, since it uses less digits than its factorization.

442626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12037 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 442626048 is about 21038.6798064898. The cubic root of 442626048 is about 762.1006335772.

The spelling of 442626048 in words is "four hundred forty-two million, six hundred twenty-six thousand, forty-eight".