472464 has 60 divisors (see below), whose sum is σ = 1407276. Its totient is φ = 147456.

The previous prime is 472457. The next prime is 472469. The reversal of 472464 is 464274.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 230400 = 492^2 + 480^2 .

Its product of digits (5376) is a multiple of the sum of its prime factors (224).

It is a zygodrome in base 3.

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 472464.

It is not an unprimeable number, because it can be changed into a prime (472469) by changing a digit.

472464 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 11 ways as a sum of consecutive naturals, for example, 2352 + ... + 2544.

2⁴⁷²⁴⁶⁴ 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 472464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703638).

472464 is an abundant number, since it is smaller than the sum of its proper divisors (934812).

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

472464 is a wasteful number, since it uses less digits than its factorization.

472464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 472464 is about 687.3601675977. The cubic root of 472464 is about 77.8854333845.

The spelling of 472464 in words is "four hundred seventy-two thousand, four hundred sixty-four".