442251040 has 96 divisors (see below), whose sum is σ = 1302666624. Its totient is φ = 137840640.

The previous prime is 442250993. The next prime is 442251067. The reversal of 442251040 is 40152244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 5629 + ... + 30268.

It is an arithmetic number, because the mean of its divisors is an integer number (13569444).

Almost surely, 2^442251040 is an apocalyptic number.

442251040 is a gapful number since it is divisible by the number (40) 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 442251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651333312).

442251040 is an abundant number, since it is smaller than the sum of its proper divisors (860415584).

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

442251040 is a wasteful number, since it uses less digits than its factorization.

442251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35930 (or 35922 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 442251040 is about 21029.7655716843. The cubic root of 442251040 is about 761.8853468168.

The spelling of 442251040 in words is "four hundred forty-two million, two hundred fifty-one thousand, forty".