442442880 has 192 divisors, whose sum is σ = 1666941120. Its totient is φ = 107243520.

The previous prime is 442442863. The next prime is 442442939. The reversal of 442442880 is 88244244.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59869 + ... + 66851.

It is an arithmetic number, because the mean of its divisors is an integer number (8681985).

Almost surely, 2^442442880 is an apocalyptic number.

442442880 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 442442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833470560).

442442880 is an abundant number, since it is smaller than the sum of its proper divisors (1224498240).

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

442442880 is a wasteful number, since it uses less digits than its factorization.

442442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 442442880 is about 21034.3262311870. The cubic root of 442442880 is about 761.9954946310.

The spelling of 442442880 in words is "four hundred forty-two million, four hundred forty-two thousand, eight hundred eighty".