442806480 has 320 divisors, whose sum is σ = 1671321600. Its totient is φ = 107274240.

The previous prime is 442806473. The next prime is 442806487. The reversal of 442806480 is 84608244.

442806480 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442806473) and next prime (442806487).

It is a super-3 number, since 3×442806480³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442806487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138126 + ... + 1138514.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^442806480 is an apocalyptic number.

442806480 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 442806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835660800).

442806480 is an abundant number, since it is smaller than the sum of its proper divisors (1228515120).

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

442806480 is a wasteful number, since it uses less digits than its factorization.

442806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 442806480 is about 21042.9674713430. The cubic root of 442806480 is about 762.2041736964.

The spelling of 442806480 in words is "four hundred forty-two million, eight hundred six thousand, four hundred eighty".