442966272 has 216 divisors, whose sum is σ = 1398096000. Its totient is φ = 124121088.

The previous prime is 442966259. The next prime is 442966273. The reversal of 442966272 is 272669244.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (442966273) 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, 2972854 + ... + 2973002.

Almost surely, 2^442966272 is an apocalyptic number.

442966272 is a gapful number since it is divisible by the number (42) 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 442966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699048000).

442966272 is an abundant number, since it is smaller than the sum of its proper divisors (955129728).

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

442966272 is a wasteful number, since it uses less digits than its factorization.

442966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 442966272 is about 21046.7639317782. The cubic root of 442966272 is about 762.2958461594.

The spelling of 442966272 in words is "four hundred forty-two million, nine hundred sixty-six thousand, two hundred seventy-two".