248599440 has 120 divisors (see below), whose sum is σ = 839674680. Its totient is φ = 65912832.

The previous prime is 248599427. The next prime is 248599459. The reversal of 248599440 is 44995842.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 199487376 = 7008^2 + 14124^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138066 + ... + 139854.

It is an arithmetic number, because the mean of its divisors is an integer number (6997289).

Almost surely, 2^248599440 is an apocalyptic number.

248599440 is a gapful number since it is divisible by the number (20) 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 248599440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419837340).

248599440 is an abundant number, since it is smaller than the sum of its proper divisors (591075240).

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

248599440 is a wasteful number, since it uses less digits than its factorization.

248599440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 248599440 is about 15767.0365002432. The cubic root of 248599440 is about 628.7819245819.

The spelling of 248599440 in words is "two hundred forty-eight million, five hundred ninety-nine thousand, four hundred forty".