470496 has 72 divisors (see below), whose sum is σ = 1383480. Its totient is φ = 139776.

The previous prime is 470489. The next prime is 470501. The reversal of 470496 is 694074.

It is a congruent number.

It is an unprimeable number.

470496 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 11 ways as a sum of consecutive naturals, for example, 16210 + ... + 16238.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2⁴⁷⁰⁴⁹⁶ 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 470496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691740).

470496 is an abundant number, since it is smaller than the sum of its proper divisors (912984).

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

470496 is a wasteful number, since it uses less digits than its factorization.

470496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 470496 is about 685.9271098302. The cubic root of 470496 is about 77.7771416426. Note that the first 3 decimals are identical.

It can be divided in two parts, 4704 and 96, that multiplied together give a square (451584 = 672²).

The spelling of 470496 in words is "four hundred seventy thousand, four hundred ninety-six".