474320 has 90 divisors (see below), whose sum is σ = 1410066. Its totient is φ = 147840.

The previous prime is 474319. The next prime is 474337. The reversal of 474320 is 23474.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 94864 = 616^2 + 308^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 474292 and 474301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43115 + ... + 43125.

2⁴⁷⁴³²⁰ is an apocalyptic number.

474320 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 474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705033).

474320 is an abundant number, since it is smaller than the sum of its proper divisors (935746).

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

474320 is a wasteful number, since it uses less digits than its factorization.

474320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 474320 is about 688.7089370699. The cubic root of 474320 is about 77.9872869923.

Multiplying 474320 by its sum of digits (20), we get a square (9486400 = 3080²).

474320 divided by its sum of digits (20) gives a square (23716 = 154²).

Adding to 474320 its reverse (23474), we get a palindrome (497794).

The spelling of 474320 in words is "four hundred seventy-four thousand, three hundred twenty", and thus it is an iban number.