472064 has 22 divisors (see below), whose sum is σ = 945714. Its totient is φ = 235520.

The previous prime is 472063. The next prime is 472067. The reversal of 472064 is 460274.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 102400 = 608^2 + 320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 794 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (42987).

2⁴⁷²⁰⁶⁴ 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 472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472857).

472064 is an abundant number, since it is smaller than the sum of its proper divisors (473650).

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

472064 is an equidigital number, since it uses as much as digits as its factorization.

472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 472064 is about 687.0691377147. The cubic root of 472064 is about 77.8634472512.

The spelling of 472064 in words is "four hundred seventy-two thousand, sixty-four".