442915840 has 176 divisors, whose sum is σ = 1164333600. Its totient is φ = 161021952.

The previous prime is 442915831. The next prime is 442915843. The reversal of 442915840 is 48519244.

It is a self number, because there is not a number n which added to its sum of digits gives 442915840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442915843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821042 + ... + 2821198.

Almost surely, 2^442915840 is an apocalyptic number.

442915840 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 442915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582166800).

442915840 is an abundant number, since it is smaller than the sum of its proper divisors (721417760).

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

442915840 is a wasteful number, since it uses less digits than its factorization.

442915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 442915840 is about 21045.5658037507. The cubic root of 442915840 is about 762.2669157677.

The spelling of 442915840 in words is "four hundred forty-two million, nine hundred fifteen thousand, eight hundred forty".