442209768 has 256 divisors, whose sum is σ = 1509580800. Its totient is φ = 104232960.

The previous prime is 442209751. The next prime is 442209841. The reversal of 442209768 is 867902244.

It is a super-2 number, since 2×442209768² = 391098957829227648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1897780 + ... + 1898012.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^442209768 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 442209768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

442209768 is an abundant number, since it is smaller than the sum of its proper divisors (1067371032).

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

442209768 is a wasteful number, since it uses less digits than its factorization.

442209768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 442209768 is about 21028.7842729912. The cubic root of 442209768 is about 761.8616457154.

The spelling of 442209768 in words is "four hundred forty-two million, two hundred nine thousand, seven hundred sixty-eight".