472758 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 120960.

The previous prime is 472751. The next prime is 472763. The reversal of 472758 is 857274.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16288 + ... + 16316.

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

2⁴⁷²⁷⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

472758 is an abundant number, since it is smaller than the sum of its proper divisors (736842).

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

472758 is a wasteful number, since it uses less digits than its factorization.

472758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its digits is 15680, while the sum is 33.

The square root of 472758 is about 687.5739960179. The cubic root of 472758 is about 77.9015852814.

The spelling of 472758 in words is "four hundred seventy-two thousand, seven hundred fifty-eight".