474000 has 80 divisors (see below), whose sum is σ = 1547520. Its totient is φ = 124800.

The previous prime is 473999. The next prime is 474017. The reversal of 474000 is 474.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5961 + ... + 6039.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2⁴⁷⁴⁰⁰⁰ is an apocalyptic number.

474000 is a gapful number since it is divisible by the number (40) 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 474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760).

474000 is an abundant number, since it is smaller than the sum of its proper divisors (1073520).

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

474000 is a wasteful number, since it uses less digits than its factorization.

474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 474000 is about 688.4765791223. The cubic root of 474000 is about 77.9697450051.

Adding to 474000 its reverse (474), we get a palindrome (474474).

474000 divided by its reverse (474) gives a cube (1000 = 10³).

The spelling of 474000 in words is "four hundred seventy-four thousand", and thus it is an iban number.