470966496 has 384 divisors, whose sum is σ = 1727308800. Its totient is φ = 109025280.

The previous prime is 470966491. The next prime is 470966519. The reversal of 470966496 is 694669074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470966491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16240210 + ... + 16240238.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^470966496 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 470966496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

470966496 is an abundant number, since it is smaller than the sum of its proper divisors (1256342304).

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

470966496 is a wasteful number, since it uses less digits than its factorization.

470966496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 470966496 is about 21701.7625090682. The cubic root of 470966496 is about 778.0305871934.

The spelling of 470966496 in words is "four hundred seventy million, nine hundred sixty-six thousand, four hundred ninety-six".