472584896 has 56 divisors (see below), whose sum is σ = 1073968896. Its totient is φ = 202118400.

The previous prime is 472584883. The next prime is 472584947. The reversal of 472584896 is 698485274.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324971 + ... + 326421.

It is an arithmetic number, because the mean of its divisors is an integer number (19178016).

Almost surely, 2^472584896 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 472584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536984448).

472584896 is an abundant number, since it is smaller than the sum of its proper divisors (601384000).

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

472584896 is a wasteful number, since it uses less digits than its factorization.

472584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2187 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The square root of 472584896 is about 21739.0178250996. The cubic root of 472584896 is about 778.9207603126.

The spelling of 472584896 in words is "four hundred seventy-two million, five hundred eighty-four thousand, eight hundred ninety-six".