471600864 has 144 divisors (see below), whose sum is σ = 1539064800. Its totient is φ = 134184960.

The previous prime is 471600863. The next prime is 471600869. The reversal of 471600864 is 468006174.

471600864 is a `hidden beast` number, since 47 + 1 + 600 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471600863) 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, 904924 + ... + 905444.

It is an arithmetic number, because the mean of its divisors is an integer number (10687950).

Almost surely, 2^471600864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471600864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769532400).

471600864 is an abundant number, since it is smaller than the sum of its proper divisors (1067463936).

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

471600864 is a wasteful number, since it uses less digits than its factorization.

471600864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 471600864 is about 21716.3731778582. The cubic root of 471600864 is about 778.3797530600.

The spelling of 471600864 in words is "four hundred seventy-one million, six hundred thousand, eight hundred sixty-four".