472224284640 has 240 divisors, whose sum is σ = 1720319610240. Its totient is φ = 121864227840.

The previous prime is 472224284603. The next prime is 472224284681. The reversal of 472224284640 is 46482422274.

472224284640 is a `hidden beast` number, since 472 + 2 + 2 + 42 + 84 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185935 + ... + 989454.

It is an arithmetic number, because the mean of its divisors is an integer number (7167998376).

Almost surely, 2^472224284640 is an apocalyptic number.

472224284640 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 472224284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860159805120).

472224284640 is an abundant number, since it is smaller than the sum of its proper divisors (1248095325600).

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

472224284640 is a wasteful number, since it uses less digits than its factorization.

472224284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175447 (or 1175430 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 472224284640 in words is "four hundred seventy-two billion, two hundred twenty-four million, two hundred eighty-four thousand, six hundred forty".