442263120 has 160 divisors (see below), whose sum is σ = 1485321600. Its totient is φ = 108214272.

The previous prime is 442263097. The next prime is 442263131. The reversal of 442263120 is 21362244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 714171 + ... + 714789.

It is an arithmetic number, because the mean of its divisors is an integer number (9283260).

Almost surely, 2^442263120 is an apocalyptic number.

442263120 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 442263120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742660800).

442263120 is an abundant number, since it is smaller than the sum of its proper divisors (1043058480).

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

442263120 is a wasteful number, since it uses less digits than its factorization.

442263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 442263120 is about 21030.0527816741. The cubic root of 442263120 is about 761.8922836696.

The spelling of 442263120 in words is "four hundred forty-two million, two hundred sixty-three thousand, one hundred twenty".