248545440 has 576 divisors, whose sum is σ = 1069915392. Its totient is φ = 51609600.

The previous prime is 248545439. The next prime is 248545481. The reversal of 248545440 is 44545842.

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 = 248545395 and 248545404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500605 + ... + 3500675.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 2^248545440 is an apocalyptic number.

248545440 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 248545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696).

248545440 is an abundant number, since it is smaller than the sum of its proper divisors (821369952).

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

248545440 is a wasteful number, since it uses less digits than its factorization.

248545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 248545440 is about 15765.3239738357. The cubic root of 248545440 is about 628.7363939313.

The spelling of 248545440 in words is "two hundred forty-eight million, five hundred forty-five thousand, four hundred forty".