471264 has 24 divisors (see below), whose sum is σ = 1237320. Its totient is φ = 157056.

The previous prime is 471259. The next prime is 471277. The reversal of 471264 is 462174.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

471264 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 3 ways as a sum of consecutive naturals, for example, 2359 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (51555).

2⁴⁷¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

471264 is an abundant number, since it is smaller than the sum of its proper divisors (766056).

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

471264 is a wasteful number, since it uses less digits than its factorization.

471264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4914 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 471264 is about 686.4867078101. The cubic root of 471264 is about 77.8194376969.

The spelling of 471264 in words is "four hundred seventy-one thousand, two hundred sixty-four".