471735680 has 192 divisors, whose sum is σ = 1276203600. Its totient is φ = 165703680.

The previous prime is 471735679. The next prime is 471735683. The reversal of 471735680 is 86537174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471735683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7995491 + ... + 7995549.

Almost surely, 2^471735680 is an apocalyptic number.

471735680 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 471735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638101800).

471735680 is an abundant number, since it is smaller than the sum of its proper divisors (804467920).

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

471735680 is a wasteful number, since it uses less digits than its factorization.

471735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 471735680 is about 21719.4769734448. The cubic root of 471735680 is about 778.4539175035.

The spelling of 471735680 in words is "four hundred seventy-one million, seven hundred thirty-five thousand, six hundred eighty".