472608 has 48 divisors (see below), whose sum is σ = 1380960. Its totient is φ = 157248.

The previous prime is 472597. The next prime is 472631. The reversal of 472608 is 806274.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 3.

It is an unprimeable number.

472608 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 7 ways as a sum of consecutive naturals, for example, 591 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (28770).

2⁴⁷²⁶⁰⁸ is an apocalyptic number.

472608 is a gapful number since it is divisible by the number (48) 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 472608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690480).

472608 is an abundant number, since it is smaller than the sum of its proper divisors (908352).

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

472608 is a wasteful number, since it uses less digits than its factorization.

472608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 472608 is about 687.4649081953. The cubic root of 472608 is about 77.8933453547.

The spelling of 472608 in words is "four hundred seventy-two thousand, six hundred eight".