470204784 has 240 divisors, whose sum is σ = 1593127200. Its totient is φ = 132378624.

The previous prime is 470204771. The next prime is 470204797. The reversal of 470204784 is 487402074.

It is an interprime number because it is at equal distance from previous prime (470204771) and next prime (470204797).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2053182 + ... + 2053410.

It is an arithmetic number, because the mean of its divisors is an integer number (6638030).

Almost surely, 2^470204784 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 470204784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796563600).

470204784 is an abundant number, since it is smaller than the sum of its proper divisors (1122922416).

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

470204784 is a wasteful number, since it uses less digits than its factorization.

470204784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 470204784 is about 21684.2058650991. The cubic root of 470204784 is about 777.6109147226.

The spelling of 470204784 in words is "four hundred seventy million, two hundred four thousand, seven hundred eighty-four".