463272100 has 72 divisors (see below), whose sum is σ = 1101257640. Its totient is φ = 168376320.

The previous prime is 463272031. The next prime is 463272107. The reversal of 463272100 is 1272364.

It can be written as a sum of positive squares in 12 ways, for example, as 206439424 + 256832676 = 14368^2 + 16026^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (463272107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44602 + ... + 53998.

It is an arithmetic number, because the mean of its divisors is an integer number (15295245).

Almost surely, 2^463272100 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 463272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550628820).

463272100 is an abundant number, since it is smaller than the sum of its proper divisors (637985540).

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

463272100 is a wasteful number, since it uses less digits than its factorization.

463272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 463272100 is about 21523.7566423708. The cubic root of 463272100 is about 773.7702870669.

The spelling of 463272100 in words is "four hundred sixty-three million, two hundred seventy-two thousand, one hundred".