248365440 has 192 divisors, whose sum is σ = 889958160. Its totient is φ = 66189312.

The previous prime is 248365433. The next prime is 248365441. The reversal of 248365440 is 44563842.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 248365395 and 248365404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248365441) 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, 154722 + ... + 156318.

Almost surely, 2^248365440 is an apocalyptic number.

248365440 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 248365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444979080).

248365440 is an abundant number, since it is smaller than the sum of its proper divisors (641592720).

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

248365440 is an equidigital number, since it uses as much as digits as its factorization.

248365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 248365440 is about 15759.6142084760. The cubic root of 248365440 is about 628.5845774502.

It can be divided in two parts, 24836 and 5440, that added together give a square (30276 = 174²).

The spelling of 248365440 in words is "two hundred forty-eight million, three hundred sixty-five thousand, four hundred forty".