442248480 has 144 divisors (see below), whose sum is σ = 1558013184. Its totient is φ = 114117120.

The previous prime is 442248479. The next prime is 442248487. The reversal of 442248480 is 84842244.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (442248487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39687 + ... + 49593.

It is an arithmetic number, because the mean of its divisors is an integer number (10819536).

Almost surely, 2^442248480 is an apocalyptic number.

442248480 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 442248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779006592).

442248480 is an abundant number, since it is smaller than the sum of its proper divisors (1115764704).

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

442248480 is a wasteful number, since it uses less digits than its factorization.

442248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 442248480 is about 21029.7047054874. The cubic root of 442248480 is about 761.8838767390.

The spelling of 442248480 in words is "four hundred forty-two million, two hundred forty-eight thousand, four hundred eighty".