248953540 has 48 divisors (see below), whose sum is σ = 571463424. Its totient is φ = 90348800.

The previous prime is 248953519. The next prime is 248953553. The reversal of 248953540 is 45359842.

It is a junction number, because it is equal to n+sod(n) for n = 248953493 and 248953502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166677 + ... + 168163.

It is an arithmetic number, because the mean of its divisors is an integer number (11905488).

Almost surely, 2^248953540 is an apocalyptic number.

248953540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248953540 is an abundant number, since it is smaller than the sum of its proper divisors (322509884).

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

248953540 is a wasteful number, since it uses less digits than its factorization.

248953540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 248953540 is about 15778.2616279488. The cubic root of 248953540 is about 629.0803243551.

The spelling of 248953540 in words is "two hundred forty-eight million, nine hundred fifty-three thousand, five hundred forty".