471772 has 36 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 192864.

The previous prime is 471769. The next prime is 471781. The reversal of 471772 is 277174.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a self number, because there is not a number n which added to its sum of digits gives 471772.

It is a congruent number.

It is an unprimeable 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, 5643 + ... + 5725.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁴⁷¹⁷⁷² 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 471772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502740).

471772 is an abundant number, since it is smaller than the sum of its proper divisors (533708).

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

471772 is a wasteful number, since it uses less digits than its factorization.

471772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its digits is 2744, while the sum is 28.

The square root of 471772 is about 686.8566080340. The cubic root of 471772 is about 77.8473895302.

The spelling of 471772 in words is "four hundred seventy-one thousand, seven hundred seventy-two", and thus it is an iban number.