470903328000 has 1440 divisors, whose sum is σ = 2036354785920. Its totient is φ = 107160883200.

The previous prime is 470903327959. The next prime is 470903328017. The reversal of 470903328000 is 823309074.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2074463887 + ... + 2074464113.

It is an arithmetic number, because the mean of its divisors is an integer number (1414135268).

Almost surely, 2^470903328000 is an apocalyptic number.

470903328000 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 470903328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018177392960).

470903328000 is an abundant number, since it is smaller than the sum of its proper divisors (1565451457920).

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

470903328000 is an frugal number, since it uses more digits than its factorization.

470903328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 470903328000 in words is "four hundred seventy billion, nine hundred three million, three hundred twenty-eight thousand".