442077888 has 112 divisors (see below), whose sum is σ = 1350938624. Its totient is φ = 124968960.

The previous prime is 442077833. The next prime is 442077893. The reversal of 442077888 is 888770244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 128673 + ... + 132063.

It is an arithmetic number, because the mean of its divisors is an integer number (12061952).

Almost surely, 2^442077888 is an apocalyptic number.

442077888 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 442077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675469312).

442077888 is an abundant number, since it is smaller than the sum of its proper divisors (908860736).

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

442077888 is a wasteful number, since it uses less digits than its factorization.

442077888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 442077888 is about 21025.6483372095. The cubic root of 442077888 is about 761.7859016448.

The spelling of 442077888 in words is "four hundred forty-two million, seventy-seven thousand, eight hundred eighty-eight".