472825480240 has 160 divisors (see below), whose sum is σ = 1127367843840. Its totient is φ = 184372733952.

The previous prime is 472825480223. The next prime is 472825480289. The reversal of 472825480240 is 42084528274.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285349492 + ... + 285351148.

It is an arithmetic number, because the mean of its divisors is an integer number (7046049024).

Almost surely, 2^472825480240 is an apocalyptic number.

472825480240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472825480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563683921920).

472825480240 is an abundant number, since it is smaller than the sum of its proper divisors (654542363600).

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

472825480240 is a wasteful number, since it uses less digits than its factorization.

472825480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 46.

The spelling of 472825480240 in words is "four hundred seventy-two billion, eight hundred twenty-five million, four hundred eighty thousand, two hundred forty".