478537444 has 96 divisors (see below), whose sum is σ = 1076060160. Its totient is φ = 180835200.

The previous prime is 478537441. The next prime is 478537457. The reversal of 478537444 is 444735874.

It is a junction number, because it is equal to n+sod(n) for n = 478537394 and 478537403.

It is not an unprimeable number, because it can be changed into a prime (478537441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727434 + ... + 1727710.

It is an arithmetic number, because the mean of its divisors is an integer number (11208960).

Almost surely, 2^478537444 is an apocalyptic number.

478537444 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 478537444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538030080).

478537444 is an abundant number, since it is smaller than the sum of its proper divisors (597522716).

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

478537444 is a wasteful number, since it uses less digits than its factorization.

478537444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 46.

The square root of 478537444 is about 21875.4987143151. The cubic root of 478537444 is about 782.1774812307.

The spelling of 478537444 in words is "four hundred seventy-eight million, five hundred thirty-seven thousand, four hundred forty-four".