474175680 has 224 divisors, whose sum is σ = 1665232128. Its totient is φ = 113356800.

The previous prime is 474175657. The next prime is 474175687. The reversal of 474175680 is 86571474.

It is not an unprimeable number, because it can be changed into a prime (474175687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876210 + ... + 876750.

It is an arithmetic number, because the mean of its divisors is an integer number (7434072).

Almost surely, 2^474175680 is an apocalyptic number.

474175680 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 474175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832616064).

474175680 is an abundant number, since it is smaller than the sum of its proper divisors (1191056448).

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

474175680 is a wasteful number, since it uses less digits than its factorization.

474175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 474175680 is about 21775.5753081291. The cubic root of 474175680 is about 779.7937653310.

The spelling of 474175680 in words is "four hundred seventy-four million, one hundred seventy-five thousand, six hundred eighty".