248926440 has 128 divisors (see below), whose sum is σ = 866396160. Its totient is φ = 56035584.

The previous prime is 248926409. The next prime is 248926463. The reversal of 248926440 is 44629842.

248926440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54069 + ... + 58491.

It is an arithmetic number, because the mean of its divisors is an integer number (6768720).

Almost surely, 2^248926440 is an apocalyptic number.

248926440 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 248926440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433198080).

248926440 is an abundant number, since it is smaller than the sum of its proper divisors (617469720).

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

248926440 is a wasteful number, since it uses less digits than its factorization.

248926440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 248926440 is about 15777.4028280956. The cubic root of 248926440 is about 629.0574972105.

The spelling of 248926440 in words is "two hundred forty-eight million, nine hundred twenty-six thousand, four hundred forty".