474091467892560 has 480 divisors, whose sum is σ = 1909536567552000. Its totient is φ = 107796409943040.

The previous prime is 474091467892507. The next prime is 474091467892561. The reversal of 474091467892560 is 65298764190474.

474091467892560 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 9 + 1 + 467 + 89 + 25 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474091467892561) 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, 8489466 + ... + 31941414.

It is an arithmetic number, because the mean of its divisors is an integer number (3978201182400).

Almost surely, 2^{474091467892560} is an apocalyptic number.

474091467892560 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 474091467892560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954768283776000).

474091467892560 is an abundant number, since it is smaller than the sum of its proper divisors (1435445099659440).

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

474091467892560 is a wasteful number, since it uses less digits than its factorization.

474091467892560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23452176 (or 23452157 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 474091467892560 in words is "four hundred seventy-four trillion, ninety-one billion, four hundred sixty-seven million, eight hundred ninety-two thousand, five hundred sixty".