475464937248 has 576 divisors, whose sum is σ = 1656730962432. Its totient is φ = 126419927040.

The previous prime is 475464937243. The next prime is 475464937261. The reversal of 475464937248 is 842739464574.

475464937248 is a `hidden beast` number, since 4 + 7 + 546 + 49 + 3 + 7 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (475464937243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274358590 + ... + 274360322.

It is an arithmetic number, because the mean of its divisors is an integer number (2876269032).

Almost surely, 2^475464937248 is an apocalyptic number.

475464937248 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 475464937248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828365481216).

475464937248 is an abundant number, since it is smaller than the sum of its proper divisors (1181266025184).

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

475464937248 is a wasteful number, since it uses less digits than its factorization.

475464937248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1926 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 475464937248 in words is "four hundred seventy-five billion, four hundred sixty-four million, nine hundred thirty-seven thousand, two hundred forty-eight".