253801248 has 48 divisors (see below), whose sum is σ = 667336320. Its totient is φ = 84459776.

The previous prime is 253801237. The next prime is 253801267. The reversal of 253801248 is 842108352.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67186 + ... + 70862.

It is an arithmetic number, because the mean of its divisors is an integer number (13902840).

Almost surely, 2^253801248 is an apocalyptic number.

It is an amenable number.

253801248 is an abundant number, since it is smaller than the sum of its proper divisors (413535072).

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

253801248 is a wasteful number, since it uses less digits than its factorization.

253801248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 253801248 is about 15931.1408254400. The cubic root of 253801248 is about 633.1373261101.

The spelling of 253801248 in words is "two hundred fifty-three million, eight hundred one thousand, two hundred forty-eight".