248268801 has 64 divisors (see below), whose sum is σ = 401448960. Its totient is φ = 134784000.

The previous prime is 248268773. The next prime is 248268803. The reversal of 248268801 is 108862842.

It is not a de Polignac number, because 248268801 - 2⁶ = 248268737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 248268801.

It is not an unprimeable number, because it can be changed into a prime (248268803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1030041 + ... + 1030281.

It is an arithmetic number, because the mean of its divisors is an integer number (6272640).

Almost surely, 2^248268801 is an apocalyptic number.

It is an amenable number.

248268801 is a deficient number, since it is larger than the sum of its proper divisors (153180159).

248268801 is a wasteful number, since it uses less digits than its factorization.

248268801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358.

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 248268801 is about 15756.5478769939. The cubic root of 248268801 is about 628.5030394480.

The spelling of 248268801 in words is "two hundred forty-eight million, two hundred sixty-eight thousand, eight hundred one".