471107952 has 180 divisors, whose sum is σ = 1546407720. Its totient is φ = 133491456.

The previous prime is 471107947. The next prime is 471107963. The reversal of 471107952 is 259701174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1262838 + ... + 1263210.

It is an arithmetic number, because the mean of its divisors is an integer number (8591154).

Almost surely, 2^471107952 is an apocalyptic number.

471107952 is a gapful number since it is divisible by the number (42) 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 471107952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773203860).

471107952 is an abundant number, since it is smaller than the sum of its proper divisors (1075299768).

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

471107952 is a wasteful number, since it uses less digits than its factorization.

471107952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 471107952 is about 21705.0213545161. The cubic root of 471107952 is about 778.1084738930.

The spelling of 471107952 in words is "four hundred seventy-one million, one hundred seven thousand, nine hundred fifty-two".