4832461872 has 120 divisors (see below), whose sum is σ = 15534521600. Its totient is φ = 1373708160.

The previous prime is 4832461831. The next prime is 4832461873. The reversal of 4832461872 is 2781642384.

It is a happy number.

4832461872 is a `hidden beast` number, since 4 + 8 + 3 + 24 + 618 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4832461873) 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, 188547 + ... + 212637.

Almost surely, 2^4832461872 is an apocalyptic number.

4832461872 is a gapful number since it is divisible by the number (42) 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 4832461872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767260800).

4832461872 is an abundant number, since it is smaller than the sum of its proper divisors (10702059728).

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

4832461872 is a wasteful number, since it uses less digits than its factorization.

4832461872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24311 (or 24302 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4832461872 is about 69515.9109269238. The cubic root of 4832461872 is about 1690.6594851564.

The spelling of 4832461872 in words is "four billion, eight hundred thirty-two million, four hundred sixty-one thousand, eight hundred seventy-two".