471294495360 has 768 divisors, whose sum is σ = 1913354352000. Its totient is φ = 109896155136.

The previous prime is 471294495323. The next prime is 471294495361. The reversal of 471294495360 is 63594492174.

471294495360 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 94 + 495 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 471294495297 and 471294495306.

It is not an unprimeable number, because it can be changed into a prime (471294495361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38407306 + ... + 38419574.

Almost surely, 2^471294495360 is an apocalyptic number.

471294495360 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 471294495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956677176000).

471294495360 is an abundant number, since it is smaller than the sum of its proper divisors (1442059856640).

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

471294495360 is a wasteful number, since it uses less digits than its factorization.

471294495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12335 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 471294495360 in words is "four hundred seventy-one billion, two hundred ninety-four million, four hundred ninety-five thousand, three hundred sixty".