471031920 has 240 divisors, whose sum is σ = 1733996160. Its totient is φ = 114057216.

The previous prime is 471031919. The next prime is 471031961. The reversal of 471031920 is 29130174.

471031920 is a `hidden beast` number, since 471 + 0 + 3 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 354297 + ... + 355623.

It is an arithmetic number, because the mean of its divisors is an integer number (7224984).

Almost surely, 2^471031920 is an apocalyptic number.

471031920 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 471031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866998080).

471031920 is an abundant number, since it is smaller than the sum of its proper divisors (1262964240).

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

471031920 is a wasteful number, since it uses less digits than its factorization.

471031920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 471031920 is about 21703.2697997329. The cubic root of 471031920 is about 778.0666120605.

The spelling of 471031920 in words is "four hundred seventy-one million, thirty-one thousand, nine hundred twenty".