442904455488 has 448 divisors, whose sum is σ = 1445396908032. Its totient is φ = 118007070720.

The previous prime is 442904455457. The next prime is 442904455501. The reversal of 442904455488 is 884554409244.

It is a super-2 number, since 2×442904455488² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35502820 + ... + 35515292.

It is an arithmetic number, because the mean of its divisors is an integer number (3226332384).

Almost surely, 2^442904455488 is an apocalyptic number.

442904455488 is a gapful number since it is divisible by the number (48) 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 442904455488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722698454016).

442904455488 is an abundant number, since it is smaller than the sum of its proper divisors (1002492452544).

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

442904455488 is a wasteful number, since it uses less digits than its factorization.

442904455488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 57.

The spelling of 442904455488 in words is "four hundred forty-two billion, nine hundred four million, four hundred fifty-five thousand, four hundred eighty-eight".