476448 has 48 divisors (see below), whose sum is σ = 1431360. Its totient is φ = 135936.

The previous prime is 476429. The next prime is 476467. The reversal of 476448 is 844674.

It is an interprime number because it is at equal distance from previous prime (476429) and next prime (476467).

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

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (29820).

2⁴⁷⁶⁴⁴⁸ is an apocalyptic number.

476448 is a gapful number since it is divisible by the number (48) 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 476448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715680).

476448 is an abundant number, since it is smaller than the sum of its proper divisors (954912).

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

476448 is a wasteful number, since it uses less digits than its factorization.

476448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 476448 is about 690.2521278489. The cubic root of 476448 is about 78.1037409890.

The spelling of 476448 in words is "four hundred seventy-six thousand, four hundred forty-eight".