442988280 has 192 divisors, whose sum is σ = 1717148160. Its totient is φ = 96839424.

The previous prime is 442988251. The next prime is 442988281. The reversal of 442988280 is 82889244.

It is a happy number.

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 (442988281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54139 + ... + 61781.

It is an arithmetic number, because the mean of its divisors is an integer number (8943480).

Almost surely, 2^442988280 is an apocalyptic number.

442988280 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 442988280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

442988280 is an abundant number, since it is smaller than the sum of its proper divisors (1274159880).

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

442988280 is a wasteful number, since it uses less digits than its factorization.

442988280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 442988280 is about 21047.2867610056. The cubic root of 442988280 is about 762.3084703930.

The spelling of 442988280 in words is "four hundred forty-two million, nine hundred eighty-eight thousand, two hundred eighty".