472804416 has 168 divisors, whose sum is σ = 1561185600. Its totient is φ = 134009856.

The previous prime is 472804279. The next prime is 472804427. The reversal of 472804416 is 614408274.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600375 + ... + 601161.

Almost surely, 2^472804416 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 472804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780592800).

472804416 is an abundant number, since it is smaller than the sum of its proper divisors (1088381184).

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

472804416 is a wasteful number, since it uses less digits than its factorization.

472804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 472804416 is about 21744.0662250647. The cubic root of 472804416 is about 779.0413469122.

The spelling of 472804416 in words is "four hundred seventy-two million, eight hundred four thousand, four hundred sixteen".