442872789480 has 192 divisors, whose sum is σ = 1570533494400. Its totient is φ = 107339297280.

The previous prime is 442872789409. The next prime is 442872789497. The reversal of 442872789480 is 84987278244.

442872789480 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 72 + 7 + 89 + 480 = 666.

It is a super-3 number, since 3×442872789480³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23461486 + ... + 23480354.

It is an arithmetic number, because the mean of its divisors is an integer number (8179861950).

Almost surely, 2^442872789480 is an apocalyptic number.

442872789480 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 442872789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785266747200).

442872789480 is an abundant number, since it is smaller than the sum of its proper divisors (1127660704920).

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

442872789480 is a wasteful number, since it uses less digits than its factorization.

442872789480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24824 (or 24817 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 442872789480 in words is "four hundred forty-two billion, eight hundred seventy-two million, seven hundred eighty-nine thousand, four hundred eighty".