470412652160 has 768 divisors, whose sum is σ = 1408679078400. Its totient is φ = 148449853440.

The previous prime is 470412652121. The next prime is 470412652181. The reversal of 470412652160 is 61256214074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1662235379 + ... + 1662235661.

It is an arithmetic number, because the mean of its divisors is an integer number (1834217550).

Almost surely, 2^470412652160 is an apocalyptic number.

470412652160 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 470412652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704339539200).

470412652160 is an abundant number, since it is smaller than the sum of its proper divisors (938266426240).

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

470412652160 is a wasteful number, since it uses less digits than its factorization.

470412652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 470412652160 in words is "four hundred seventy billion, four hundred twelve million, six hundred fifty-two thousand, one hundred sixty".