474240 has 128 divisors (see below), whose sum is σ = 1713600. Its totient is φ = 110592.

The previous prime is 474223. The next prime is 474241. The reversal of 474240 is 42474.

474240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474241) by changing a digit.

474240 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, 24951 + ... + 24969.

2⁴⁷⁴²⁴⁰ is an apocalyptic number.

474240 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 474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856800).

474240 is an abundant number, since it is smaller than the sum of its proper divisors (1239360).

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

474240 is a wasteful number, since it uses less digits than its factorization.

474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 474240 is about 688.6508549330. The cubic root of 474240 is about 77.9829022353.

Subtracting from 474240 its product of nonzero digits (896), we obtain a square (473344 = 688²).

The spelling of 474240 in words is "four hundred seventy-four thousand, two hundred forty", and thus it is an iban number.