470772 has 30 divisors (see below), whose sum is σ = 1231538. Its totient is φ = 156816.

The previous prime is 470749. The next prime is 470779. The reversal of 470772 is 277074.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 2916 = 684^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470779) by changing a digit.

470772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 403 + ... + 1050.

2⁴⁷⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

470772 is an abundant number, since it is smaller than the sum of its proper divisors (760766).

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

470772 is a wasteful number, since it uses less digits than its factorization.

470772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 470772 is about 686.1282678917. The cubic root of 470772 is about 77.7923470817.

Subtracting from 470772 its product of nonzero digits (2744), we obtain a triangular number (468028 = T₉₆₇).

The spelling of 470772 in words is "four hundred seventy thousand, seven hundred seventy-two", and thus it is an iban number.