472419672 has 64 divisors (see below), whose sum is σ = 1214400000. Its totient is φ = 153062784.

The previous prime is 472419653. The next prime is 472419679. The reversal of 472419672 is 276914274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472419679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235329 + ... + 237327.

It is an arithmetic number, because the mean of its divisors is an integer number (18975000).

Almost surely, 2^472419672 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 472419672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607200000).

472419672 is an abundant number, since it is smaller than the sum of its proper divisors (741980328).

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

472419672 is a wasteful number, since it uses less digits than its factorization.

472419672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2276 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 472419672 is about 21735.2173212048. The cubic root of 472419672 is about 778.8299749279.

The spelling of 472419672 in words is "four hundred seventy-two million, four hundred nineteen thousand, six hundred seventy-two".