471403680 has 384 divisors, whose sum is σ = 1765048320. Its totient is φ = 104509440.

The previous prime is 471403679. The next prime is 471403703. The reversal of 471403680 is 86304174.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3711777 + ... + 3711903.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^471403680 is an apocalyptic number.

471403680 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 471403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

471403680 is an abundant number, since it is smaller than the sum of its proper divisors (1293644640).

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

471403680 is a wasteful number, since it uses less digits than its factorization.

471403680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 471403680 is about 21711.8327185892. The cubic root of 471403680 is about 778.2712535206.

The spelling of 471403680 in words is "four hundred seventy-one million, four hundred three thousand, six hundred eighty".