442314432 has 336 divisors, whose sum is σ = 1597639680. Its totient is φ = 118444032.

The previous prime is 442314419. The next prime is 442314487. The reversal of 442314432 is 234413244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 442314396 and 442314405.

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, 1850569 + ... + 1850807.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2^442314432 is an apocalyptic number.

442314432 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 442314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

442314432 is an abundant number, since it is smaller than the sum of its proper divisors (1155325248).

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

442314432 is a wasteful number, since it uses less digits than its factorization.

442314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 442314432 is about 21031.2727146980. The cubic root of 442314432 is about 761.9217478078.

Adding to 442314432 its reverse (234413244), we get a palindrome (676727676).

It can be divided in two parts, 44 and 2314432, that added together give a triangular number (2314476 = T₂₁₅₁).

The spelling of 442314432 in words is "four hundred forty-two million, three hundred fourteen thousand, four hundred thirty-two".