470243275200 has 336 divisors, whose sum is σ = 1715307435520. Its totient is φ = 125318016000.

The previous prime is 470243275163. The next prime is 470243275217. The reversal of 470243275200 is 2572342074.

It is a happy number.

470243275200 is a `hidden beast` number, since 4 + 70 + 2 + 43 + 27 + 520 + 0 = 666.

It is a super-2 number, since 2×470243275200² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102424905 + ... + 102429495.

Almost surely, 2^470243275200 is an apocalyptic number.

470243275200 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 470243275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857653717760).

470243275200 is an abundant number, since it is smaller than the sum of its proper divisors (1245064160320).

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

470243275200 is a wasteful number, since it uses less digits than its factorization.

470243275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 470243275200 in words is "four hundred seventy billion, two hundred forty-three million, two hundred seventy-five thousand, two hundred".