470806939512000 has 4480 divisors, whose sum is σ = 2206361699942400. Its totient is φ = 98476110028800.

The previous prime is 470806939511983. The next prime is 470806939512073. The reversal of 470806939512000 is 215939608074.

470806939512000 is a `hidden beast` number, since 4 + 70 + 8 + 0 + 69 + 395 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 639 ways as a sum of consecutive naturals, for example, 366957863359 + ... + 366957864641.

It is an arithmetic number, because the mean of its divisors is an integer number (492491450880).

It is a 1-persistent number, because it is pandigital, but 2⋅470806939512000 = 941613879024000 is not.

Almost surely, 2^{470806939512000} is an apocalyptic number.

470806939512000 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 470806939512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103180849971200).

470806939512000 is an abundant number, since it is smaller than the sum of its proper divisors (1735554760430400).

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

470806939512000 is a wasteful number, since it uses less digits than its factorization.

470806939512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 470806939512000 in words is "four hundred seventy trillion, eight hundred six billion, nine hundred thirty-nine million, five hundred twelve thousand".