442476 has 48 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 138240.

The previous prime is 442469. The next prime is 442487. The reversal of 442476 is 674244.

442476 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716 + ... + 1956.

It is an arithmetic number, because the mean of its divisors is an integer number (25410).

442476 is a Friedman number, since it can be written as 27*(4+4*4^6), using all its digits and the basic arithmetic operations.

2⁴⁴²⁴⁷⁶ 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 442476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840).

442476 is an abundant number, since it is smaller than the sum of its proper divisors (777204).

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

442476 is a wasteful number, since it uses less digits than its factorization.

442476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

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

The square root of 442476 is about 665.1886950332. The cubic root of 442476 is about 76.2014507753.

It can be divided in two parts, 44247 and 6, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 442476 in words is "four hundred forty-two thousand, four hundred seventy-six".