470047768440 has 128 divisors (see below), whose sum is σ = 1459830712320. Its totient is φ = 120952742400.

The previous prime is 470047768363. The next prime is 470047768447. The reversal of 470047768440 is 44867740074.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470047768447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108770 + ... + 1472910.

It is an arithmetic number, because the mean of its divisors is an integer number (11404927440).

Almost surely, 2^470047768440 is an apocalyptic number.

470047768440 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 470047768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729915356160).

470047768440 is an abundant number, since it is smaller than the sum of its proper divisors (989782943880).

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

470047768440 is a wasteful number, since it uses less digits than its factorization.

470047768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364533 (or 364529 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 51.

The spelling of 470047768440 in words is "four hundred seventy billion, forty-seven million, seven hundred sixty-eight thousand, four hundred forty".