470395775250 has 320 divisors, whose sum is σ = 1366356625920. Its totient is φ = 120674707200.

The previous prime is 470395775207. The next prime is 470395775251. The reversal of 470395775250 is 52577593074.

470395775250 is a `hidden beast` number, since 47 + 0 + 3 + 9 + 5 + 77 + 525 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (470395775251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56149062 + ... + 56157438.

It is an arithmetic number, because the mean of its divisors is an integer number (4269864456).

Almost surely, 2^470395775250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470395775250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683178312960).

470395775250 is an abundant number, since it is smaller than the sum of its proper divisors (895960850670).

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

470395775250 is a wasteful number, since it uses less digits than its factorization.

470395775250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8493 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 470395775250 in words is "four hundred seventy billion, three hundred ninety-five million, seven hundred seventy-five thousand, two hundred fifty".