470292480000 has 1350 divisors, whose sum is σ = 2014730373656. Its totient is φ = 107495424000.

The previous prime is 470292479989. The next prime is 470292480023. The reversal of 470292480000 is 84292074.

It is a tau number, because it is divible by the number of its divisors (1350).

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

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 67184639997 + ... + 67184640003.

Almost surely, 2^470292480000 is an apocalyptic number.

470292480000 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 470292480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007365186828).

470292480000 is an abundant number, since it is smaller than the sum of its proper divisors (1544437893656).

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

470292480000 is an frugal number, since it uses more digits than its factorization.

470292480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 470292480000 in words is "four hundred seventy billion, two hundred ninety-two million, four hundred eighty thousand".