474804105480 has 384 divisors, whose sum is σ = 1694818944000. Its totient is φ = 119298085632.

The previous prime is 474804105473. The next prime is 474804105493. The reversal of 474804105480 is 84501408474.

474804105480 is a `hidden beast` number, since 4 + 7 + 480 + 41 + 0 + 54 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14962671 + ... + 14994369.

It is an arithmetic number, because the mean of its divisors is an integer number (4413591000).

Almost surely, 2^474804105480 is an apocalyptic number.

474804105480 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 474804105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847409472000).

474804105480 is an abundant number, since it is smaller than the sum of its proper divisors (1220014838520).

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

474804105480 is a wasteful number, since it uses less digits than its factorization.

474804105480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31815 (or 31799 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 474804105480 in words is "four hundred seventy-four billion, eight hundred four million, one hundred five thousand, four hundred eighty".