248733408 has 432 divisors, whose sum is σ = 916997760. Its totient is φ = 58544640.

The previous prime is 248733403. The next prime is 248733451. The reversal of 248733408 is 804337842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248733403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10814485 + ... + 10814507.

It is an arithmetic number, because the mean of its divisors is an integer number (2122680).

Almost surely, 2^248733408 is an apocalyptic number.

248733408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248733408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458498880).

248733408 is an abundant number, since it is smaller than the sum of its proper divisors (668264352).

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

248733408 is a wasteful number, since it uses less digits than its factorization.

248733408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 248733408 is about 15771.2842850543. The cubic root of 248733408 is about 628.8948526050.

The spelling of 248733408 in words is "two hundred forty-eight million, seven hundred thirty-three thousand, four hundred eight".