472468584 has 144 divisors (see below), whose sum is σ = 1414238400. Its totient is φ = 131147520.

The previous prime is 472468583. The next prime is 472468589. The reversal of 472468584 is 485864274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472468583) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1976737 + ... + 1976975.

It is an arithmetic number, because the mean of its divisors is an integer number (9821100).

Almost surely, 2^472468584 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 472468584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707119200).

472468584 is an abundant number, since it is smaller than the sum of its proper divisors (941769816).

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

472468584 is a wasteful number, since it uses less digits than its factorization.

472468584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 292 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The square root of 472468584 is about 21736.3424706182. The cubic root of 472468584 is about 778.8568527369.

The spelling of 472468584 in words is "four hundred seventy-two million, four hundred sixty-eight thousand, five hundred eighty-four".