442971648 has 240 divisors, whose sum is σ = 1511617536. Its totient is φ = 122204160.

The previous prime is 442971631. The next prime is 442971649. The reversal of 442971648 is 846179244.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442971649) 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, 999715 + ... + 1000157.

Almost surely, 2^442971648 is an apocalyptic number.

442971648 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 442971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755808768).

442971648 is an abundant number, since it is smaller than the sum of its proper divisors (1068645888).

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

442971648 is a wasteful number, since it uses less digits than its factorization.

442971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 442971648 is about 21046.8916469867. The cubic root of 442971648 is about 762.2989299802.

The spelling of 442971648 in words is "four hundred forty-two million, nine hundred seventy-one thousand, six hundred forty-eight".