463472100 has 216 divisors, whose sum is σ = 1788288320. Its totient is φ = 97770240.

The previous prime is 463472089. The next prime is 463472117. The reversal of 463472100 is 1274364.

463472100 is a `hidden beast` number, since 4 + 634 + 7 + 21 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79071 + ... + 84729.

Almost surely, 2^463472100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894144160).

463472100 is an abundant number, since it is smaller than the sum of its proper divisors (1324816220).

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

463472100 is a wasteful number, since it uses less digits than its factorization.

463472100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 463472100 is about 21528.4021701565. The cubic root of 463472100 is about 773.8816196172.

The spelling of 463472100 in words is "four hundred sixty-three million, four hundred seventy-two thousand, one hundred".