248377344 has 208 divisors, whose sum is σ = 743087520. Its totient is φ = 73400320.

The previous prime is 248377309. The next prime is 248377387. The reversal of 248377344 is 443773842.

It is a junction number, because it is equal to n+sod(n) for n = 248377296 and 248377305.

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, 6057964 + ... + 6058004.

Almost surely, 2^248377344 is an apocalyptic number.

248377344 is a gapful number since it is divisible by the number (24) 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 248377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371543760).

248377344 is an abundant number, since it is smaller than the sum of its proper divisors (494710176).

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

248377344 is a wasteful number, since it uses less digits than its factorization.

248377344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 248377344 is about 15759.9918781705. The cubic root of 248377344 is about 628.5946198449.

The spelling of 248377344 in words is "two hundred forty-eight million, three hundred seventy-seven thousand, three hundred forty-four".