442839960 has 160 divisors (see below), whose sum is σ = 1536796800. Its totient is φ = 114255360.

The previous prime is 442839959. The next prime is 442839967. The reversal of 442839960 is 69938244.

It is a super-2 number, since 2×442839960² = 392214460345603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442839967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98236 + ... + 102644.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2^442839960 is an apocalyptic number.

442839960 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 442839960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768398400).

442839960 is an abundant number, since it is smaller than the sum of its proper divisors (1093956840).

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

442839960 is a wasteful number, since it uses less digits than its factorization.

442839960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 442839960 is about 21043.7629714840. The cubic root of 442839960 is about 762.2233829550.

The spelling of 442839960 in words is "four hundred forty-two million, eight hundred thirty-nine thousand, nine hundred sixty".