470416665156480 has 1280 divisors, whose sum is σ = 1982547726888960. Its totient is φ = 104019619184640.

The previous prime is 470416665156467. The next prime is 470416665156521. The reversal of 470416665156480 is 84651566614074.

It is a super-3 number, since 3×470416665156480³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45818312307 + ... + 45818322573.

It is an arithmetic number, because the mean of its divisors is an integer number (1548865411632).

Almost surely, 2^{470416665156480} is an apocalyptic number.

470416665156480 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 470416665156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991273863444480).

470416665156480 is an abundant number, since it is smaller than the sum of its proper divisors (1512131061732480).

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

470416665156480 is a wasteful number, since it uses less digits than its factorization.

470416665156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14409 (or 14388 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 470416665156480 in words is "four hundred seventy trillion, four hundred sixteen billion, six hundred sixty-five million, one hundred fifty-six thousand, four hundred eighty".