470604816 has 150 divisors (see below), whose sum is σ = 1497646766. Its totient is φ = 142560000.

The previous prime is 470604811. The next prime is 470604821. The reversal of 470604816 is 618406074.

470604816 is a `hidden beast` number, since 47 + 0 + 604 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (470604811) and next prime (470604821).

It can be written as a sum of positive squares in only one way, i.e., 407878416 + 62726400 = 20196^2 + 7920^2 .

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 (470604811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 155316 + ... + 158316.

Almost surely, 2^470604816 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 470604816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748823383).

470604816 is an abundant number, since it is smaller than the sum of its proper divisors (1027041950).

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

470604816 is a wasteful number, since it uses less digits than its factorization.

470604816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3017 counting only the distinct ones).

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

The square root of 470604816 is about 21693.4279448869. The cubic root of 470604816 is about 777.8313726213.

The spelling of 470604816 in words is "four hundred seventy million, six hundred four thousand, eight hundred sixteen".