470361728 has 64 divisors (see below), whose sum is σ = 963018720. Its totient is φ = 228756480.

The previous prime is 470361713. The next prime is 470361737. The reversal of 470361728 is 827163074.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 470361691 and 470361700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835175 + ... + 835737.

Almost surely, 2^470361728 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 470361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481509360).

470361728 is an abundant number, since it is smaller than the sum of its proper divisors (492656992).

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

470361728 is a wasteful number, since it uses less digits than its factorization.

470361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 470361728 is about 21687.8244183228. The cubic root of 470361728 is about 777.6974215637.

The spelling of 470361728 in words is "four hundred seventy million, three hundred sixty-one thousand, seven hundred twenty-eight".