474432 has 56 divisors (see below), whose sum is σ = 1438656. Its totient is φ = 135168.

The previous prime is 474413. The next prime is 474433. The reversal of 474432 is 234474.

474432 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1168 + ... + 1520.

2⁴⁷⁴⁴³² is an apocalyptic number.

474432 is a gapful number since it is divisible by the number (42) 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 474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719328).

474432 is an abundant number, since it is smaller than the sum of its proper divisors (964224).

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

474432 is a wasteful number, since it uses less digits than its factorization.

474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 474432 is about 688.7902438333. The cubic root of 474432 is about 77.9934248238.

The spelling of 474432 in words is "four hundred seventy-four thousand, four hundred thirty-two".