472364 has 12 divisors (see below), whose sum is σ = 831600. Its totient is φ = 234768.

The previous prime is 472349. The next prime is 472369. The reversal of 472364 is 463274.

It is a happy number.

It is a d-powerful number, because it can be written as 4⁵ + 7⁶ + 3³ + 2¹³ + 6⁷ + 4⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472364.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 857 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

472364 is a Friedman number, since it can be written as (3^(6+4)*2-7)*4, using all its digits and the basic arithmetic operations.

2⁴⁷²³⁶⁴ is an apocalyptic number.

It is an amenable number.

472364 is a deficient number, since it is larger than the sum of its proper divisors (359236).

472364 is a wasteful number, since it uses less digits than its factorization.

472364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its digits is 4032, while the sum is 26.

The square root of 472364 is about 687.2874216803. The cubic root of 472364 is about 77.8799380149.

The spelling of 472364 in words is "four hundred seventy-two thousand, three hundred sixty-four".