442818072 has 96 divisors (see below), whose sum is σ = 1243457280. Its totient is φ = 142248960.

The previous prime is 442818053. The next prime is 442818083. The reversal of 442818072 is 270818244.

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 23 ways as a sum of consecutive naturals, for example, 300297 + ... + 301767.

It is an arithmetic number, because the mean of its divisors is an integer number (12952680).

Almost surely, 2^442818072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442818072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621728640).

442818072 is an abundant number, since it is smaller than the sum of its proper divisors (800639208).

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

442818072 is a wasteful number, since it uses less digits than its factorization.

442818072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 442818072 is about 21043.2429059782. The cubic root of 442818072 is about 762.2108247536.

It can be divided in two parts, 4428 and 18072, that added together give a square (22500 = 150²).

The spelling of 442818072 in words is "four hundred forty-two million, eight hundred eighteen thousand, seventy-two".