248406144 has 64 divisors (see below), whose sum is σ = 754098240. Its totient is φ = 70972416.

The previous prime is 248406143. The next prime is 248406149. The reversal of 248406144 is 441604842.

248406144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×248406144² = 123411224753897472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248406143) by changing a digit.

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, 43519 + ... + 48894.

It is an arithmetic number, because the mean of its divisors is an integer number (11782785).

Almost surely, 2^248406144 is an apocalyptic number.

248406144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248406144 is an abundant number, since it is smaller than the sum of its proper divisors (505692096).

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

248406144 is an equidigital number, since it uses as much as digits as its factorization.

248406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92437 (or 92425 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 248406144 is about 15760.9055577400. The cubic root of 248406144 is about 628.6189146337.

The spelling of 248406144 in words is "two hundred forty-eight million, four hundred six thousand, one hundred forty-four".