432838848 has 112 divisors (see below), whose sum is σ = 1298366720. Its totient is φ = 126157824.

The previous prime is 432838841. The next prime is 432838849. The reversal of 432838848 is 848838234.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 432838797 and 432838806.

It is not an unprimeable number, because it can be changed into a prime (432838841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42861 + ... + 51987.

It is an arithmetic number, because the mean of its divisors is an integer number (11592560).

Almost surely, 2^432838848 is an apocalyptic number.

432838848 is a gapful number since it is divisible by the number (48) 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 432838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649183360).

432838848 is an abundant number, since it is smaller than the sum of its proper divisors (865527872).

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

432838848 is a wasteful number, since it uses less digits than its factorization.

432838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9164 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 432838848 is about 20804.7794508858. The cubic root of 432838848 is about 756.4416109152.

The spelling of 432838848 in words is "four hundred thirty-two million, eight hundred thirty-eight thousand, eight hundred forty-eight".