470976 has 56 divisors (see below), whose sum is σ = 1365504. Its totient is φ = 142080.

The previous prime is 470959. The next prime is 470993. The reversal of 470976 is 679074.

It is an interprime number because it is at equal distance from previous prime (470959) and next prime (470993).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2001 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (24384).

2⁴⁷⁰⁹⁷⁶ 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 470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682752).

470976 is an abundant number, since it is smaller than the sum of its proper divisors (894528).

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

470976 is a wasteful number, since it uses less digits than its factorization.

470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 470976 is about 686.2769120406. The cubic root of 470976 is about 77.8035820653.

The spelling of 470976 in words is "four hundred seventy thousand, nine hundred seventy-six".