475966848 has 128 divisors (see below), whose sum is σ = 1458616320. Its totient is φ = 134701056.

The previous prime is 475966847. The next prime is 475966849. The reversal of 475966848 is 848669574.

It is an interprime number because it is at equal distance from previous prime (475966847) and next prime (475966849).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475966847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302961 + ... + 304527.

It is an arithmetic number, because the mean of its divisors is an integer number (11395440).

Almost surely, 2^475966848 is an apocalyptic number.

475966848 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 475966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729308160).

475966848 is an abundant number, since it is smaller than the sum of its proper divisors (982649472).

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

475966848 is a wasteful number, since it uses less digits than its factorization.

475966848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1692 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 475966848 is about 21816.6644563279. The cubic root of 475966848 is about 780.7744051227.

The spelling of 475966848 in words is "four hundred seventy-five million, nine hundred sixty-six thousand, eight hundred forty-eight".