248504832 has 120 divisors (see below), whose sum is σ = 723465600. Its totient is φ = 82114560.

The previous prime is 248504831. The next prime is 248504843. The reversal of 248504832 is 238405842.

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

It is not an unprimeable number, because it can be changed into a prime (248504831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916857 + ... + 917127.

It is an arithmetic number, because the mean of its divisors is an integer number (6028880).

Almost surely, 2^248504832 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 248504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361732800).

248504832 is an abundant number, since it is smaller than the sum of its proper divisors (474960768).

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

248504832 is a wasteful number, since it uses less digits than its factorization.

248504832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 248504832 is about 15764.0360314229. The cubic root of 248504832 is about 628.7021505376.

The spelling of 248504832 in words is "two hundred forty-eight million, five hundred four thousand, eight hundred thirty-two".