472440 has 64 divisors (see below), whose sum is σ = 1474560. Its totient is φ = 120960.

The previous prime is 472421. The next prime is 472457. The reversal of 472440 is 44274.

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 472440.

It is an unprimeable number.

472440 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 15 ways as a sum of consecutive naturals, for example, 3657 + ... + 3783.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2⁴⁷²⁴⁴⁰ is an apocalyptic number.

472440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737280).

472440 is an abundant number, since it is smaller than the sum of its proper divisors (1002120).

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

472440 is a wasteful number, since it uses less digits than its factorization.

472440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 472440 is about 687.3427092797. The cubic root of 472440 is about 77.8841145666.

The spelling of 472440 in words is "four hundred seventy-two thousand, four hundred forty", and thus it is an iban number.