248823432 has 180 divisors, whose sum is σ = 802454835. Its totient is φ = 69600960.

The previous prime is 248823427. The next prime is 248823433. The reversal of 248823432 is 234328842.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

248823432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4356 + 248819076 = 66^2 + 15774^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11154.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (248823433) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19140258 + ... + 19140270.

Almost surely, 2^248823432 is an apocalyptic number.

248823432 is a gapful number since it is divisible by the number (22) 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 248823432

248823432 is an abundant number, since it is smaller than the sum of its proper divisors (553631403).

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

248823432 is a wasteful number, since it uses less digits than its factorization.

248823432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 248823432 is about 15774.1380747095. The cubic root of 248823432 is about 628.9707153554.

Multiplying 248823432 by its product of digits (73728), we get a square (18345253994496 = 4283136²).

The spelling of 248823432 in words is "two hundred forty-eight million, eight hundred twenty-three thousand, four hundred thirty-two".