470280096 has 288 divisors, whose sum is σ = 1656607680. Its totient is φ = 124416000.

The previous prime is 470280079. The next prime is 470280119. The reversal of 470280096 is 690082074.

470280096 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 470280096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782196 + ... + 782796.

It is an arithmetic number, because the mean of its divisors is an integer number (5752110).

Almost surely, 2^470280096 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 470280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828303840).

470280096 is an abundant number, since it is smaller than the sum of its proper divisors (1186327584).

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

470280096 is a wasteful number, since it uses less digits than its factorization.

470280096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 470280096 is about 21685.9423590491. The cubic root of 470280096 is about 777.6524287670.

The spelling of 470280096 in words is "four hundred seventy million, two hundred eighty thousand, ninety-six".