442552320 has 390 divisors, whose sum is σ = 1789553298. Its totient is φ = 101154816.

The previous prime is 442552309. The next prime is 442552339. The reversal of 442552320 is 23255244.

It is a happy number.

442552320 is a `hidden beast` number, since 4 + 425 + 5 + 232 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 354041856 + 88510464 = 18816^2 + 9408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63221757 + ... + 63221763.

Almost surely, 2^442552320 is an apocalyptic number.

442552320 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 442552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894776649).

442552320 is an abundant number, since it is smaller than the sum of its proper divisors (1347000978).

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

442552320 is an frugal number, since it uses more digits than its factorization.

442552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 442552320 is about 21036.9275323180. The cubic root of 442552320 is about 762.0583169868.

The spelling of 442552320 in words is "four hundred forty-two million, five hundred fifty-two thousand, three hundred twenty".