476007168 has 288 divisors, whose sum is σ = 1602496000. Its totient is φ = 124637184.

The previous prime is 476007163. The next prime is 476007197. The reversal of 476007168 is 861700674.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (476007163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3424443 + ... + 3424581.

Almost surely, 2^476007168 is an apocalyptic number.

476007168 is a gapful number since it is divisible by the number (48) 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 476007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801248000).

476007168 is an abundant number, since it is smaller than the sum of its proper divisors (1126488832).

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

476007168 is a wasteful number, since it uses less digits than its factorization.

476007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 476007168 is about 21817.5885010237. The cubic root of 476007168 is about 780.7964514306.

The spelling of 476007168 in words is "four hundred seventy-six million, seven thousand, one hundred sixty-eight".