442481760 has 216 divisors, whose sum is σ = 1756774656. Its totient is φ = 101122560.

The previous prime is 442481749. The next prime is 442481773. The reversal of 442481760 is 67184244.

442481760 is a `hidden beast` number, since 442 + 48 + 176 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 67425 + ... + 73695.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 2^442481760 is an apocalyptic number.

442481760 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 442481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

442481760 is an abundant number, since it is smaller than the sum of its proper divisors (1314292896).

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

442481760 is a wasteful number, since it uses less digits than its factorization.

442481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6306 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 442481760 is about 21035.2504144828. The cubic root of 442481760 is about 762.0178142858.

The spelling of 442481760 in words is "four hundred forty-two million, four hundred eighty-one thousand, seven hundred sixty".