248449032 has 224 divisors, whose sum is σ = 784992600. Its totient is φ = 73156608.

The previous prime is 248448989. The next prime is 248449051. The reversal of 248449032 is 230944842.

It can be written as a sum of positive squares in 4 ways, for example, as 95531076 + 152917956 = 9774^2 + 12366^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2198608 + ... + 2198720.

Almost surely, 2^248449032 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 248449032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392496300).

248449032 is an abundant number, since it is smaller than the sum of its proper divisors (536543568).

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

248449032 is a wasteful number, since it uses less digits than its factorization.

248449032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 248449032 is about 15762.2660807385. The cubic root of 248449032 is about 628.6550901433.

The spelling of 248449032 in words is "two hundred forty-eight million, four hundred forty-nine thousand, thirty-two".