471121920 has 300 divisors, whose sum is σ = 1712796624. Its totient is φ = 123863040.

The previous prime is 471121909. The next prime is 471121921. The reversal of 471121920 is 29121174.

471121920 is a `hidden beast` number, since 471 + 1 + 2 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (471121921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635485 + ... + 6635555.

Almost surely, 2^471121920 is an apocalyptic number.

471121920 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 471121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856398312).

471121920 is an abundant number, since it is smaller than the sum of its proper divisors (1241674704).

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

471121920 is an frugal number, since it uses more digits than its factorization.

471121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 471121920 is about 21705.3431209921. The cubic root of 471121920 is about 778.1161639293.

The spelling of 471121920 in words is "four hundred seventy-one million, one hundred twenty-one thousand, nine hundred twenty".