472788 has 36 divisors (see below), whose sum is σ = 1249248. Its totient is φ = 150480.

The previous prime is 472763. The next prime is 472793. The reversal of 472788 is 887274.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472788.

It is an unprimeable number.

472788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543 + ... + 1113.

2⁴⁷²⁷⁸⁸ 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 472788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624624).

472788 is an abundant number, since it is smaller than the sum of its proper divisors (776460).

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

472788 is a wasteful number, since it uses less digits than its factorization.

472788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 472788 is about 687.5958115056. The cubic root of 472788 is about 77.9032330576.

The spelling of 472788 in words is "four hundred seventy-two thousand, seven hundred eighty-eight".