442256160 has 192 divisors, whose sum is σ = 1489259520. Its totient is φ = 109992960.

The previous prime is 442256117. The next prime is 442256183. The reversal of 442256160 is 61652244.

It is a super-2 number, since 2×442256160² = 391181022115891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647179 + ... + 647861.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2^442256160 is an apocalyptic number.

442256160 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 442256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744629760).

442256160 is an abundant number, since it is smaller than the sum of its proper divisors (1047003360).

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

442256160 is a wasteful number, since it uses less digits than its factorization.

442256160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 442256160 is about 21029.8873035497. The cubic root of 442256160 is about 761.8882869553. Note that the first 3 decimals are identical.

The spelling of 442256160 in words is "four hundred forty-two million, two hundred fifty-six thousand, one hundred sixty".