442764 has 54 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 126000.

The previous prime is 442763. The next prime is 442769. The reversal of 442764 is 467244.

442764 = 70² + 71² + ... + 118².

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

It is a nialpdrome in base 9 and base 14.

It is not an unprimeable number, because it can be changed into a prime (442763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1639 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2⁴⁴²⁷⁶⁴ 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 442764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

442764 is an abundant number, since it is smaller than the sum of its proper divisors (864360).

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

442764 is a wasteful number, since it uses less digits than its factorization.

442764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 442764 is about 665.4051397457. The cubic root of 442764 is about 76.2179799265.

The spelling of 442764 in words is "four hundred forty-two thousand, seven hundred sixty-four".