470980683779424 has 576 divisors, whose sum is σ = 1711208284402176. Its totient is φ = 111824980033536.

The previous prime is 470980683779387. The next prime is 470980683779443. The reversal of 470980683779424 is 424977386089074.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 470980683779424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14061579 + ... + 33759285.

It is an arithmetic number, because the mean of its divisors is an integer number (2970847715976).

Almost surely, 2^{470980683779424} 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 470980683779424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855604142201088).

470980683779424 is an abundant number, since it is smaller than the sum of its proper divisors (1240227600622752).

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

470980683779424 is a wasteful number, since it uses less digits than its factorization.

470980683779424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19697787 (or 19697772 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 78.

The spelling of 470980683779424 in words is "four hundred seventy trillion, nine hundred eighty billion, six hundred eighty-three million, seven hundred seventy-nine thousand, four hundred twenty-four".