474480 has 60 divisors (see below), whose sum is σ = 1595880. Its totient is φ = 126336.

The previous prime is 474479. The next prime is 474491. The reversal of 474480 is 84474.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (26598).

2⁴⁷⁴⁴⁸⁰ is an apocalyptic number.

474480 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 474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797940).

474480 is an abundant number, since it is smaller than the sum of its proper divisors (1121400).

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

474480 is a wasteful number, since it uses less digits than its factorization.

474480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 474480 is about 688.8250866512. The cubic root of 474480 is about 77.9960550273.

The spelling of 474480 in words is "four hundred seventy-four thousand, four hundred eighty".