472563198000 has 480 divisors, whose sum is σ = 1726586634240. Its totient is φ = 120235737600.

The previous prime is 472563197987. The next prime is 472563198031. The reversal of 472563198000 is 891365274.

472563198000 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 631 + 9 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×472563198000² (a number of 24 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 198304809 + ... + 198307191.

It is an arithmetic number, because the mean of its divisors is an integer number (3597055488).

It is a 1-persistent number, because it is pandigital, but 2⋅472563198000 = 945126396000 is not.

Almost surely, 2^472563198000 is an apocalyptic number.

472563198000 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 472563198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863293317120).

472563198000 is an abundant number, since it is smaller than the sum of its proper divisors (1254023436240).

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

472563198000 is a wasteful number, since it uses less digits than its factorization.

472563198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 472563198000 in words is "four hundred seventy-two billion, five hundred sixty-three million, one hundred ninety-eight thousand".