248389440 has 168 divisors, whose sum is σ = 854525088. Its totient is φ = 61102080.

The previous prime is 248389409. The next prime is 248389441. The reversal of 248389440 is 44983842.

248389440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248389392 and 248389401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248389441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161475 + ... + 163005.

Almost surely, 2^248389440 is an apocalyptic number.

248389440 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 248389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427262544).

248389440 is an abundant number, since it is smaller than the sum of its proper divisors (606135648).

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

248389440 is a wasteful number, since it uses less digits than its factorization.

248389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 248389440 is about 15760.3756300413. The cubic root of 248389440 is about 628.6048238849.

The spelling of 248389440 in words is "two hundred forty-eight million, three hundred eighty-nine thousand, four hundred forty".