442464 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 133760.

The previous prime is 442457. The next prime is 442469. The reversal of 442464 is 464244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442469) 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, 847 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁴⁴²⁴⁶⁴ is an apocalyptic number.

442464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

442464 is an abundant number, since it is smaller than the sum of its proper divisors (827616).

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

442464 is a wasteful number, since it uses less digits than its factorization.

442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 442464 is about 665.1796749751. The cubic root of 442464 is about 76.2007619050.

Multiplying 442464 by its sum of digits (24), we get a triangular number (10619136 = T₄₆₀₈).

The spelling of 442464 in words is "four hundred forty-two thousand, four hundred sixty-four".