471838248 has 144 divisors (see below), whose sum is σ = 1564992000. Its totient is φ = 127697472.

The previous prime is 471838243. The next prime is 471838249. The reversal of 471838248 is 842838174.

It is a super-3 number, since 3×471838248³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (471838243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63513 + ... + 70551.

It is an arithmetic number, because the mean of its divisors is an integer number (10868000).

Almost surely, 2^471838248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471838248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782496000).

471838248 is an abundant number, since it is smaller than the sum of its proper divisors (1093153752).

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

471838248 is a wasteful number, since it uses less digits than its factorization.

471838248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084 (or 7070 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 471838248 is about 21721.8380437752. The cubic root of 471838248 is about 778.5103323411.

The spelling of 471838248 in words is "four hundred seventy-one million, eight hundred thirty-eight thousand, two hundred forty-eight".