475152768 has 192 divisors, whose sum is σ = 1451174400. Its totient is φ = 148921344.

The previous prime is 475152763. The next prime is 475152773. The reversal of 475152768 is 867251574.

It is an interprime number because it is at equal distance from previous prime (475152763) and next prime (475152773).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475152761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2093071 + ... + 2093297.

It is an arithmetic number, because the mean of its divisors is an integer number (7558200).

Almost surely, 2^475152768 is an apocalyptic number.

475152768 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 475152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725587200).

475152768 is an abundant number, since it is smaller than the sum of its proper divisors (976021632).

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

475152768 is a wasteful number, since it uses less digits than its factorization.

475152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 475152768 is about 21797.9991742362. Note that the first 3 decimals coincide. The cubic root of 475152768 is about 780.3290130727.

The spelling of 475152768 in words is "four hundred seventy-five million, one hundred fifty-two thousand, seven hundred sixty-eight".