472472 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 167040.

The previous prime is 472469. The next prime is 472477. The reversal of 472472 is 274274.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7979 + ... + 8037.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁴⁷²⁴⁷² 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 472472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

472472 is an abundant number, since it is smaller than the sum of its proper divisors (737128).

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

472472 is a wasteful number, since it uses less digits than its factorization.

472472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 3136, while the sum is 26.

The square root of 472472 is about 687.3659869385. The cubic root of 472472 is about 77.8858729806.

The spelling of 472472 in words is "four hundred seventy-two thousand, four hundred seventy-two", and thus it is an iban number.