470486016 has 704 divisors, whose sum is σ = 1980840960. Its totient is φ = 106168320.

The previous prime is 470485979. The next prime is 470486017. The reversal of 470486016 is 610684074.

470486016 is a `hidden beast` number, since 4 + 7 + 0 + 48 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470486017) 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, 27675640 + ... + 27675656.

Almost surely, 2^470486016 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 470486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990420480).

470486016 is an abundant number, since it is smaller than the sum of its proper divisors (1510354944).

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

470486016 is a wasteful number, since it uses less digits than its factorization.

470486016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 470486016 is about 21690.6896155931. The cubic root of 470486016 is about 777.7659149090.

The spelling of 470486016 in words is "four hundred seventy million, four hundred eighty-six thousand, sixteen".