442231264 has 48 divisors (see below), whose sum is σ = 894036528. Its totient is φ = 215212032.

The previous prime is 442231261. The next prime is 442231271. The reversal of 442231264 is 462132244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442231261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766144 + ... + 766720.

It is an arithmetic number, because the mean of its divisors is an integer number (18625761).

Almost surely, 2^442231264 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 442231264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447018264).

442231264 is an abundant number, since it is smaller than the sum of its proper divisors (451805264).

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

442231264 is a wasteful number, since it uses less digits than its factorization.

442231264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1179 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 442231264 is about 21029.2953757372. The cubic root of 442231264 is about 761.8739903187.

The spelling of 442231264 in words is "four hundred forty-two million, two hundred thirty-one thousand, two hundred sixty-four".