248724441 has 27 divisors (see below), whose sum is σ = 418481973. Its totient is φ = 141939000.

The previous prime is 248724401. The next prime is 248724449. The reversal of 248724441 is 144427842.

The square root of 248724441 is 15771.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 248724441 - 2⁷ = 248724313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 248724396 and 248724405.

It is not an unprimeable number, because it can be changed into a prime (248724449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 330816 + ... + 331566.

Almost surely, 2^248724441 is an apocalyptic number.

248724441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

248724441 is the 15771-st square number.

248724441 is the 7886-th centered octagonal number.

It is an amenable number.

248724441 is a deficient number, since it is larger than the sum of its proper divisors (169757532).

248724441 is an frugal number, since it uses more digits than its factorization.

248724441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The cubic root of 248724441 is about 628.8872951590.

Multiplying 248724441 by its sum of digits (36), we get a square (8954079876 = 94626²).

The spelling of 248724441 in words is "two hundred forty-eight million, seven hundred twenty-four thousand, four hundred forty-one".