442506437472 has 48 divisors (see below), whose sum is σ = 1267177528512. Its totient is φ = 134092859520.

The previous prime is 442506437449. The next prime is 442506437501. The reversal of 442506437472 is 274734605244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×442506437472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209519038 + ... + 209521149.

It is an arithmetic number, because the mean of its divisors is an integer number (26399531844).

Almost surely, 2^442506437472 is an apocalyptic number.

It is an amenable number.

442506437472 is an abundant number, since it is smaller than the sum of its proper divisors (824671091040).

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

442506437472 is a wasteful number, since it uses less digits than its factorization.

442506437472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419040211 (or 419040203 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 48.

It can be divided in two parts, 442506 and 437472, that added together give a palindrome (879978).

The spelling of 442506437472 in words is "four hundred forty-two billion, five hundred six million, four hundred thirty-seven thousand, four hundred seventy-two".