248429376 has 112 divisors (see below), whose sum is σ = 786587200. Its totient is φ = 76432896.

The previous prime is 248429369. The next prime is 248429387. The reversal of 248429376 is 673924842.

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, 16935 + ... + 27993.

It is an arithmetic number, because the mean of its divisors is an integer number (7023100).

Almost surely, 2^248429376 is an apocalyptic number.

248429376 is a gapful number since it is divisible by the number (26) 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 248429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393293600).

248429376 is an abundant number, since it is smaller than the sum of its proper divisors (538157824).

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

248429376 is a wasteful number, since it uses less digits than its factorization.

248429376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11077 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 248429376 is about 15761.6425539980. The cubic root of 248429376 is about 628.6385110617.

The spelling of 248429376 in words is "two hundred forty-eight million, four hundred twenty-nine thousand, three hundred seventy-six".