475168680 has 480 divisors, whose sum is σ = 1929228840. Its totient is φ = 104509440.

The previous prime is 475168679. The next prime is 475168693. The reversal of 475168680 is 86861574.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272448036 + 202720644 = 16506^2 + 14238^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6509124 + ... + 6509196.

Almost surely, 2^475168680 is an apocalyptic number.

475168680 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 475168680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964614420).

475168680 is an abundant number, since it is smaller than the sum of its proper divisors (1454060160).

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

475168680 is a wasteful number, since it uses less digits than its factorization.

475168680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 475168680 is about 21798.3641588079. The cubic root of 475168680 is about 780.3377235742.

The spelling of 475168680 in words is "four hundred seventy-five million, one hundred sixty-eight thousand, six hundred eighty".