472982204880 has 800 divisors, whose sum is σ = 1837803230208. Its totient is φ = 112173465600.

The previous prime is 472982204873. The next prime is 472982204909. The reversal of 472982204880 is 88402289274.

472982204880 is a `hidden beast` number, since 4 + 72 + 98 + 2 + 2 + 0 + 488 + 0 = 666.

It is a super-2 number, since 2×472982204880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 146841670 + ... + 146844890.

Almost surely, 2^472982204880 is an apocalyptic number.

472982204880 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 472982204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918901615104).

472982204880 is an abundant number, since it is smaller than the sum of its proper divisors (1364821025328).

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

472982204880 is a wasteful number, since it uses less digits than its factorization.

472982204880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 472982204880 in words is "four hundred seventy-two billion, nine hundred eighty-two million, two hundred four thousand, eight hundred eighty".