475832448 has 512 divisors, whose sum is σ = 1850688000. Its totient is φ = 116785152.

The previous prime is 475832437. The next prime is 475832449. The reversal of 475832448 is 844238574.

It is a happy number.

475832448 is a `hidden beast` number, since 4 + 7 + 583 + 24 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (475832449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5346388 + ... + 5346476.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^475832448 is an apocalyptic number.

475832448 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 475832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

475832448 is an abundant number, since it is smaller than the sum of its proper divisors (1374855552).

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

475832448 is a wasteful number, since it uses less digits than its factorization.

475832448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 475832448 is about 21813.5840246393. The cubic root of 475832448 is about 780.7009084362.

The spelling of 475832448 in words is "four hundred seventy-five million, eight hundred thirty-two thousand, four hundred forty-eight".