442734624 has 72 divisors (see below), whose sum is σ = 1263330432. Its totient is φ = 147073920.

The previous prime is 442734601. The next prime is 442734673. The reversal of 442734624 is 426437244.

442734624 is a `hidden beast` number, since 4 + 4 + 27 + 3 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87097 + ... + 92039.

It is an arithmetic number, because the mean of its divisors is an integer number (17546256).

Almost surely, 2^442734624 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 442734624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631665216).

442734624 is an abundant number, since it is smaller than the sum of its proper divisors (820595808).

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

442734624 is a wasteful number, since it uses less digits than its factorization.

442734624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5259 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 442734624 is about 21041.2600383152. The cubic root of 442734624 is about 762.1629428138.

The spelling of 442734624 in words is "four hundred forty-two million, seven hundred thirty-four thousand, six hundred twenty-four".