248973696 has 128 divisors (see below), whose sum is σ = 747496800. Its totient is φ = 81561600.

The previous prime is 248973661. The next prime is 248973707. The reversal of 248973696 is 696379842.

It is a happy number.

248973696 is a `hidden beast` number, since 2 + 489 + 73 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210226 + ... + 211406.

Almost surely, 2^248973696 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 248973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373748400).

248973696 is an abundant number, since it is smaller than the sum of its proper divisors (498523104).

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

248973696 is a wasteful number, since it uses less digits than its factorization.

248973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1247 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 248973696 is about 15778.9003419123. The cubic root of 248973696 is about 629.0973012856.

The spelling of 248973696 in words is "two hundred forty-eight million, nine hundred seventy-three thousand, six hundred ninety-six".