471415680 has 128 divisors (see below), whose sum is σ = 1669658400. Its totient is φ = 125706240.

The previous prime is 471415649. The next prime is 471415691. The reversal of 471415680 is 86514174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3640 + ... + 30920.

Almost surely, 2^471415680 is an apocalyptic number.

471415680 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 471415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834829200).

471415680 is an abundant number, since it is smaller than the sum of its proper divisors (1198242720).

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

471415680 is a wasteful number, since it uses less digits than its factorization.

471415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27309 (or 27291 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 471415680 is about 21712.1090638381. The cubic root of 471415680 is about 778.2778573269.

The spelling of 471415680 in words is "four hundred seventy-one million, four hundred fifteen thousand, six hundred eighty".