248905734 has 64 divisors (see below), whose sum is σ = 637466112. Its totient is φ = 62899200.

The previous prime is 248905703. The next prime is 248905739. The reversal of 248905734 is 437509842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248905739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9814 + ... + 24374.

It is an arithmetic number, because the mean of its divisors is an integer number (9960408).

Almost surely, 2^248905734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248905734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318733056).

248905734 is an abundant number, since it is smaller than the sum of its proper divisors (388560378).

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

248905734 is a wasteful number, since it uses less digits than its factorization.

248905734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14621.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 248905734 is about 15776.7466227990. The cubic root of 248905734 is about 629.0400548076.

The spelling of 248905734 in words is "two hundred forty-eight million, nine hundred five thousand, seven hundred thirty-four".