474087476160 has 672 divisors, whose sum is σ = 1702924134912. Its totient is φ = 120982118400.

The previous prime is 474087476129. The next prime is 474087476167. The reversal of 474087476160 is 61674780474.

474087476160 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 8 + 7 + 476 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 474087476097 and 474087476106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474087476167) 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, 1544258727 + ... + 1544259033.

It is an arithmetic number, because the mean of its divisors is an integer number (2534113296).

Almost surely, 2^474087476160 is an apocalyptic number.

474087476160 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 474087476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851462067456).

474087476160 is an abundant number, since it is smaller than the sum of its proper divisors (1228836658752).

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

474087476160 is a wasteful number, since it uses less digits than its factorization.

474087476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 474087476160 in words is "four hundred seventy-four billion, eighty-seven million, four hundred seventy-six thousand, one hundred sixty".