442126464 has 128 divisors (see below), whose sum is σ = 1305991680. Its totient is φ = 131604480.

The previous prime is 442126453. The next prime is 442126469. The reversal of 442126464 is 464621244.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (442126469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153324 + ... + 156180.

It is an arithmetic number, because the mean of its divisors is an integer number (10203060).

Almost surely, 2^442126464 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 442126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652995840).

442126464 is an abundant number, since it is smaller than the sum of its proper divisors (863865216).

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

442126464 is a wasteful number, since it uses less digits than its factorization.

442126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2906 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 442126464 is about 21026.8034660526. The cubic root of 442126464 is about 761.8138025778.

The spelling of 442126464 in words is "four hundred forty-two million, one hundred twenty-six thousand, four hundred sixty-four".