470940993600 has 1008 divisors, whose sum is σ = 1966197012480. Its totient is φ = 95858380800.

The previous prime is 470940993599. The next prime is 470940993707. The reversal of 470940993600 is 6399049074.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3708196737 + ... + 3708196863.

Almost surely, 2^470940993600 is an apocalyptic number.

470940993600 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 470940993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983098506240).

470940993600 is an abundant number, since it is smaller than the sum of its proper divisors (1495256018880).

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

470940993600 is a wasteful number, since it uses less digits than its factorization.

470940993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 470940993600 in words is "four hundred seventy billion, nine hundred forty million, nine hundred ninety-three thousand, six hundred".