471717120 has 432 divisors, whose sum is σ = 1845486720. Its totient is φ = 102187008.

The previous prime is 471717109. The next prime is 471717131. The reversal of 471717120 is 21717174.

It is an interprime number because it is at equal distance from previous prime (471717109) and next prime (471717131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4327626 + ... + 4327734.

It is an arithmetic number, because the mean of its divisors is an integer number (4271960).

Almost surely, 2^471717120 is an apocalyptic number.

471717120 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 471717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922743360).

471717120 is an abundant number, since it is smaller than the sum of its proper divisors (1373769600).

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

471717120 is a wasteful number, since it uses less digits than its factorization.

471717120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 30.

The square root of 471717120 is about 21719.0497029681. The cubic root of 471717120 is about 778.4437081887.

The spelling of 471717120 in words is "four hundred seventy-one million, seven hundred seventeen thousand, one hundred twenty".