471841920 has 288 divisors, whose sum is σ = 1793560860. Its totient is φ = 114216960.

The previous prime is 471841901. The next prime is 471841963. The reversal of 471841920 is 29148174.

It can be written as a sum of positive squares in 2 ways, for example, as 434972736 + 36869184 = 20856^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696622 + ... + 697298.

Almost surely, 2^471841920 is an apocalyptic number.

471841920 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 471841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896780430).

471841920 is an abundant number, since it is smaller than the sum of its proper divisors (1321718940).

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

471841920 is a wasteful number, since it uses less digits than its factorization.

471841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 471841920 is about 21721.9225668448. The cubic root of 471841920 is about 778.5123518768.

The spelling of 471841920 in words is "four hundred seventy-one million, eight hundred forty-one thousand, nine hundred twenty".