442869120 has 160 divisors (see below), whose sum is σ = 1581750720. Its totient is φ = 118084608.

The previous prime is 442869107. The next prime is 442869139. The reversal of 442869120 is 21968244.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×442869120² = 392266114899148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47569 + ... + 56111.

It is an arithmetic number, because the mean of its divisors is an integer number (9885942).

Almost surely, 2^442869120 is an apocalyptic number.

442869120 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 442869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790875360).

442869120 is an abundant number, since it is smaller than the sum of its proper divisors (1138881600).

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

442869120 is an equidigital number, since it uses as much as digits as its factorization.

442869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8574 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 442869120 is about 21044.4558019446. The cubic root of 442869120 is about 762.2401128108.

The spelling of 442869120 in words is "four hundred forty-two million, eight hundred sixty-nine thousand, one hundred twenty".