248238432 has 240 divisors, whose sum is σ = 806818320. Its totient is φ = 74400768.

The previous prime is 248238409. The next prime is 248238451. The reversal of 248238432 is 234832842.

It is a happy number.

248238432 is a `hidden beast` number, since 248 + 2 + 384 + 32 = 666.

248238432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1785819 + ... + 1785957.

It is an arithmetic number, because the mean of its divisors is an integer number (3361743).

Almost surely, 2^248238432 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 248238432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403409160).

248238432 is an abundant number, since it is smaller than the sum of its proper divisors (558579888).

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

248238432 is a wasteful number, since it uses less digits than its factorization.

248238432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

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

The square root of 248238432 is about 15755.5841529281. The cubic root of 248238432 is about 628.4774115975.

The spelling of 248238432 in words is "two hundred forty-eight million, two hundred thirty-eight thousand, four hundred thirty-two".