475273968 has 120 divisors (see below), whose sum is σ = 1362881520. Its totient is φ = 142571520.

The previous prime is 475273921. The next prime is 475273993. The reversal of 475273968 is 869372574.

It is a self number, because there is not a number n which added to its sum of digits gives 475273968.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 331878 + ... + 333306.

It is an arithmetic number, because the mean of its divisors is an integer number (11357346).

Almost surely, 2^475273968 is an apocalyptic number.

475273968 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 475273968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681440760).

475273968 is an abundant number, since it is smaller than the sum of its proper divisors (887607552).

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

475273968 is a wasteful number, since it uses less digits than its factorization.

475273968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1488 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 475273968 is about 21800.7790686480. The cubic root of 475273968 is about 780.3953551298.

The spelling of 475273968 in words is "four hundred seventy-five million, two hundred seventy-three thousand, nine hundred sixty-eight".