470500853760 has 864 divisors, whose sum is σ = 1941818598720. Its totient is φ = 104998699008.

The previous prime is 470500853743. The next prime is 470500853773. The reversal of 470500853760 is 67358005074.

470500853760 is a `hidden beast` number, since 4 + 7 + 0 + 50 + 0 + 8 + 537 + 60 = 666.

It is a super-2 number, since 2×470500853760² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194179909 + ... + 194182331.

It is an arithmetic number, because the mean of its divisors is an integer number (2247475230).

Almost surely, 2^470500853760 is an apocalyptic number.

470500853760 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 470500853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970909299360).

470500853760 is an abundant number, since it is smaller than the sum of its proper divisors (1471317744960).

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

470500853760 is a wasteful number, since it uses less digits than its factorization.

470500853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 470500853760 in words is "four hundred seventy billion, five hundred million, eight hundred fifty-three thousand, seven hundred sixty".