472343097600 has 864 divisors, whose sum is σ = 1933767897600. Its totient is φ = 111825100800.

The previous prime is 472343097587. The next prime is 472343097607. The reversal of 472343097600 is 6790343274.

472343097600 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 4 + 30 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472343097607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81731511 + ... + 81737289.

Almost surely, 2^472343097600 is an apocalyptic number.

472343097600 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 472343097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966883948800).

472343097600 is an abundant number, since it is smaller than the sum of its proper divisors (1461424800000).

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

472343097600 is a wasteful number, since it uses less digits than its factorization.

472343097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 472343097600 in words is "four hundred seventy-two billion, three hundred forty-three million, ninety-seven thousand, six hundred".