470912 has 32 divisors (see below), whose sum is σ = 1013880. Its totient is φ = 216576.

The previous prime is 470903. The next prime is 470927. The reversal of 470912 is 219074.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×470912² = 443516223488, which contains 22 as substring.

It is a congruent number.

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, 1523 + ... + 1805.

2⁴⁷⁰⁹¹² 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 470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506940).

470912 is an abundant number, since it is smaller than the sum of its proper divisors (542968).

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

470912 is a wasteful number, since it uses less digits than its factorization.

470912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 470912 is about 686.2302820482. The cubic root of 470912 is about 77.8000577139.

Adding to 470912 its sum of digits (23), we get a triangular number (470935 = T₉₇₀).

Adding to 470912 its reverse (219074), we get a palindrome (689986).

The spelling of 470912 in words is "four hundred seventy thousand, nine hundred twelve".