248953392 has 80 divisors (see below), whose sum is σ = 716844000. Its totient is φ = 82722816.

The previous prime is 248953363. The next prime is 248953421. The reversal of 248953392 is 293359842.

It is a happy number.

248953392 is a `hidden beast` number, since 24 + 8 + 9 + 533 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (248953363) and next prime (248953421).

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, 175984 + ... + 177392.

It is an arithmetic number, because the mean of its divisors is an integer number (8960550).

Almost surely, 2^248953392 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 248953392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358422000).

248953392 is an abundant number, since it is smaller than the sum of its proper divisors (467890608).

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

248953392 is a wasteful number, since it uses less digits than its factorization.

248953392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1823 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 248953392 is about 15778.2569379510. The cubic root of 248953392 is about 629.0801996948.

The spelling of 248953392 in words is "two hundred forty-eight million, nine hundred fifty-three thousand, three hundred ninety-two".