248406912 has 320 divisors, whose sum is σ = 846661200. Its totient is φ = 71663616.

The previous prime is 248406911. The next prime is 248406959. The reversal of 248406912 is 219604842.

248406912 is a `hidden beast` number, since 248 + 406 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248406911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2560848 + ... + 2560944.

Almost surely, 2^248406912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423330600).

248406912 is an abundant number, since it is smaller than the sum of its proper divisors (598254288).

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

248406912 is a wasteful number, since it uses less digits than its factorization.

248406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248406912 is about 15760.9299218035. The cubic root of 248406912 is about 628.6195624690.

The spelling of 248406912 in words is "two hundred forty-eight million, four hundred six thousand, nine hundred twelve".