473264 has 20 divisors (see below), whose sum is σ = 1000680. Its totient is φ = 215040.

The previous prime is 473257. The next prime is 473279. The reversal of 473264 is 462374.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473264.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (50034).

2⁴⁷³²⁶⁴ is an apocalyptic number.

473264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

473264 is an abundant number, since it is smaller than the sum of its proper divisors (527416).

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

473264 is a wasteful number, since it uses less digits than its factorization.

473264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2702 counting only the distinct ones).

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

The square root of 473264 is about 687.9418580084. The cubic root of 473264 is about 77.9293684511.

It can be divided in two parts, 473 and 264, that added together give a palindrome (737).

The spelling of 473264 in words is "four hundred seventy-three thousand, two hundred sixty-four".