475176960 has 168 divisors, whose sum is σ = 1648457460. Its totient is φ = 126615552.

The previous prime is 475176913. The next prime is 475176967. The reversal of 475176960 is 69671574.

It is a happy number.

475176960 is a `hidden beast` number, since 47 + 517 + 6 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 470716416 + 4460544 = 21696^2 + 2112^2 .

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

It is not an unprimeable number, because it can be changed into a prime (475176967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367996 + ... + 369284.

Almost surely, 2^475176960 is an apocalyptic number.

475176960 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 475176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824228730).

475176960 is an abundant number, since it is smaller than the sum of its proper divisors (1173280500).

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

475176960 is a wasteful number, since it uses less digits than its factorization.

475176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 475176960 is about 21798.5540804889. The cubic root of 475176960 is about 780.3422561112.

The spelling of 475176960 in words is "four hundred seventy-five million, one hundred seventy-six thousand, nine hundred sixty".