471766680 has 640 divisors, whose sum is σ = 2074152960. Its totient is φ = 93312000.

The previous prime is 471766663. The next prime is 471766681. The reversal of 471766680 is 86667174.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471766681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7733850 + ... + 7733910.

It is an arithmetic number, because the mean of its divisors is an integer number (3240864).

Almost surely, 2^471766680 is an apocalyptic number.

471766680 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 471766680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037076480).

471766680 is an abundant number, since it is smaller than the sum of its proper divisors (1602386280).

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

471766680 is a wasteful number, since it uses less digits than its factorization.

471766680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 471766680 is about 21720.1906068985. The cubic root of 471766680 is about 778.4709691024.

The spelling of 471766680 in words is "four hundred seventy-one million, seven hundred sixty-six thousand, six hundred eighty".