474768 has 80 divisors (see below), whose sum is σ = 1567360. Its totient is φ = 134784.

The previous prime is 474757. The next prime is 474769. The reversal of 474768 is 867474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (474769) by changing a digit.

474768 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, 2946 + ... + 3102.

It is an arithmetic number, because the mean of its divisors is an integer number (19592).

2⁴⁷⁴⁷⁶⁸ is an apocalyptic number.

474768 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 474768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783680).

474768 is an abundant number, since it is smaller than the sum of its proper divisors (1092592).

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

474768 is a wasteful number, since it uses less digits than its factorization.

474768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 474768 is about 689.0341065579. The cubic root of 474768 is about 78.0118325245.

The spelling of 474768 in words is "four hundred seventy-four thousand, seven hundred sixty-eight".