248754540 has 96 divisors (see below), whose sum is σ = 761370624. Its totient is φ = 60410880.

The previous prime is 248754533. The next prime is 248754551. The reversal of 248754540 is 45457842.

It is a super-2 number, since 2×248754540² = 123757642341223200, which contains 22 as substring.

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, 27687 + ... + 35553.

It is an arithmetic number, because the mean of its divisors is an integer number (7930944).

Almost surely, 2^248754540 is an apocalyptic number.

248754540 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 248754540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380685312).

248754540 is an abundant number, since it is smaller than the sum of its proper divisors (512616084).

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

248754540 is a wasteful number, since it uses less digits than its factorization.

248754540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7927 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The square root of 248754540 is about 15771.9542226067. The cubic root of 248754540 is about 628.9126620739.

The spelling of 248754540 in words is "two hundred forty-eight million, seven hundred fifty-four thousand, five hundred forty".