471588920 has 64 divisors (see below), whose sum is σ = 1172275200. Its totient is φ = 169303680.

The previous prime is 471588917. The next prime is 471588977. The reversal of 471588920 is 29885174.

It is a super-2 number, since 2×471588920² = 444792218933532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27977 + ... + 41543.

It is an arithmetic number, because the mean of its divisors is an integer number (18316800).

Almost surely, 2^471588920 is an apocalyptic number.

471588920 is a gapful number since it is divisible by the number (40) 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 471588920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586137600).

471588920 is an abundant number, since it is smaller than the sum of its proper divisors (700686280).

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

471588920 is a wasteful number, since it uses less digits than its factorization.

471588920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13668 (or 13664 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 471588920 is about 21716.0981762378. The cubic root of 471588920 is about 778.3731817925.

The spelling of 471588920 in words is "four hundred seventy-one million, five hundred eighty-eight thousand, nine hundred twenty".