477472 has 24 divisors (see below), whose sum is σ = 964656. Its totient is φ = 232512.

The previous prime is 477469. The next prime is 477497. The reversal of 477472 is 274774.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

Its product of digits (10976) is a multiple of the sum of its prime divisors (392).

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 3 ways as a sum of consecutive naturals, for example, 1203 + ... + 1549.

It is an arithmetic number, because the mean of its divisors is an integer number (40194).

2⁴⁷⁷⁴⁷² 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 477472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482328).

477472 is an abundant number, since it is smaller than the sum of its proper divisors (487184).

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

477472 is a wasteful number, since it uses less digits than its factorization.

477472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 10976, while the sum is 31.

The square root of 477472 is about 690.9934876683. The cubic root of 477472 is about 78.1596554516.

It can be divided in two parts, 477 and 472, that added together give a palindrome (949).

The spelling of 477472 in words is "four hundred seventy-seven thousand, four hundred seventy-two", and thus it is an iban number.