472360 has 48 divisors (see below), whose sum is σ = 1241460. Its totient is φ = 161280.

The previous prime is 472349. The next prime is 472369. The reversal of 472360 is 63274.

It can be written as a sum of positive squares in 2 ways, for example, as 470596 + 1764 = 686^2 + 42^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (472369) by changing a digit.

472360 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 11 ways as a sum of consecutive naturals, for example, 1840 + ... + 2080.

2⁴⁷²³⁶⁰ is an apocalyptic number.

472360 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 472360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620730).

472360 is an abundant number, since it is smaller than the sum of its proper divisors (769100).

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

472360 is a wasteful number, since it uses less digits than its factorization.

472360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 472360 is about 687.2845116835. The cubic root of 472360 is about 77.8797181840.

The spelling of 472360 in words is "four hundred seventy-two thousand, three hundred sixty".