473748 has 48 divisors (see below), whose sum is σ = 1251264. Its totient is φ = 138240.

The previous prime is 473743. The next prime is 473761. The reversal of 473748 is 847374.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 (473741) by changing a digit.

473748 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 15 ways as a sum of consecutive naturals, for example, 4836 + ... + 4932.

It is an arithmetic number, because the mean of its divisors is an integer number (26068).

2⁴⁷³⁷⁴⁸ 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 473748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625632).

473748 is an abundant number, since it is smaller than the sum of its proper divisors (777516).

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

473748 is a wasteful number, since it uses less digits than its factorization.

473748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 473748 is about 688.2935420299. The cubic root of 473748 is about 77.9559251325.

It can be divided in two parts, 473 and 748, that added together give a palindrome (1221).

The spelling of 473748 in words is "four hundred seventy-three thousand, seven hundred forty-eight".