472059500640 has 1152 divisors, whose sum is σ = 1986709431168. Its totient is φ = 93062430720.

The previous prime is 472059500639. The next prime is 472059500641. The reversal of 472059500640 is 46005950274.

It is an interprime number because it is at equal distance from previous prime (472059500639) and next prime (472059500641).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 472059500592 and 472059500601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472059500641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1023990010 + ... + 1023990470.

It is an arithmetic number, because the mean of its divisors is an integer number (1724574159).

Almost surely, 2^472059500640 is an apocalyptic number.

472059500640 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 472059500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993354715584).

472059500640 is an abundant number, since it is smaller than the sum of its proper divisors (1514649930528).

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

472059500640 is a wasteful number, since it uses less digits than its factorization.

472059500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 472059500640 in words is "four hundred seventy-two billion, fifty-nine million, five hundred thousand, six hundred forty".