442661436 has 288 divisors, whose sum is σ = 1452971520. Its totient is φ = 114960384.

The previous prime is 442661407. The next prime is 442661477. The reversal of 442661436 is 634166244.

442661436 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 614 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 442661436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4973680 + ... + 4973768.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^442661436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442661436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

442661436 is an abundant number, since it is smaller than the sum of its proper divisors (1010310084).

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

442661436 is a wasteful number, since it uses less digits than its factorization.

442661436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 442661436 is about 21039.5208120337. The cubic root of 442661436 is about 762.1209430451.

The spelling of 442661436 in words is "four hundred forty-two million, six hundred sixty-one thousand, four hundred thirty-six".