472934016 has 384 divisors, whose sum is σ = 1603929600. Its totient is φ = 132710400.

The previous prime is 472933991. The next prime is 472934051. The reversal of 472934016 is 610439274.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 11534956 + ... + 11534996.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^472934016 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 472934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

472934016 is an abundant number, since it is smaller than the sum of its proper divisors (1130995584).

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

472934016 is a wasteful number, since it uses less digits than its factorization.

472934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 472934016 is about 21747.0461442468. The cubic root of 472934016 is about 779.1125211875.

The spelling of 472934016 in words is "four hundred seventy-two million, nine hundred thirty-four thousand, sixteen".