442311464 has 64 divisors (see below), whose sum is σ = 967800960. Its totient is φ = 185610240.

The previous prime is 442311449. The next prime is 442311479. The reversal of 442311464 is 464113244.

It is an interprime number because it is at equal distance from previous prime (442311449) and next prime (442311479).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580844 + ... + 581604.

It is an arithmetic number, because the mean of its divisors is an integer number (15121890).

Almost surely, 2^442311464 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 442311464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483900480).

442311464 is an abundant number, since it is smaller than the sum of its proper divisors (525489496).

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

442311464 is a wasteful number, since it uses less digits than its factorization.

442311464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 442311464 is about 21031.2021529916. The cubic root of 442311464 is about 761.9200435987.

The spelling of 442311464 in words is "four hundred forty-two million, three hundred eleven thousand, four hundred sixty-four".