470232648000 has 896 divisors, whose sum is σ = 1850979686400. Its totient is φ = 116453376000.

The previous prime is 470232647993. The next prime is 470232648031. The reversal of 470232648000 is 846232074.

470232648000 is a `hidden beast` number, since 4 + 7 + 0 + 2 + 3 + 2 + 648 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×470232648000² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290087190 + ... + 290088810.

Almost surely, 2^470232648000 is an apocalyptic number.

470232648000 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 470232648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925489843200).

470232648000 is an abundant number, since it is smaller than the sum of its proper divisors (1380747038400).

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

470232648000 is a wasteful number, since it uses less digits than its factorization.

470232648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 470232648000 in words is "four hundred seventy billion, two hundred thirty-two million, six hundred forty-eight thousand".