470456 has 32 divisors (see below), whose sum is σ = 1044480. Its totient is φ = 194400.

The previous prime is 470453. The next prime is 470461. The reversal of 470456 is 654074.

470456 = T₃₉₃ + T₃₉₄ + ... + T₃₉₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1601 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (32640).

470456 is a Friedman number, since it can be written as (7^6-40+5)*4, using all its digits and the basic arithmetic operations.

2⁴⁷⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522240).

470456 is an abundant number, since it is smaller than the sum of its proper divisors (574024).

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

470456 is a wasteful number, since it uses less digits than its factorization.

470456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 470456 is about 685.8979515934. The cubic root of 470456 is about 77.7749374624.

The spelling of 470456 in words is "four hundred seventy thousand, four hundred fifty-six".