474368 has 36 divisors (see below), whose sum is σ = 1011780. Its totient is φ = 221184.

The previous prime is 474359. The next prime is 474379. The reversal of 474368 is 863474.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 123904 = 592^2 + 352^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (16128) is a multiple of the sum of its prime divisors (128).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

474368 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 3 ways as a sum of consecutive naturals, for example, 4298 + ... + 4406.

It is an arithmetic number, because the mean of its divisors is an integer number (28105).

474368 is a Friedman number, since it can be written as 78^3-46*4, using all its digits and the basic arithmetic operations.

2⁴⁷⁴³⁶⁸ 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 474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505890).

474368 is an abundant number, since it is smaller than the sum of its proper divisors (537412).

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

474368 is a wasteful number, since it uses less digits than its factorization.

474368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 474368 is about 688.7437840010. The cubic root of 474368 is about 77.9899176098.

The spelling of 474368 in words is "four hundred seventy-four thousand, three hundred sixty-eight".