248377360 has 160 divisors (see below), whose sum is σ = 732881664. Its totient is φ = 76032000.

The previous prime is 248377309. The next prime is 248377387. The reversal of 248377360 is 63773842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375430 + ... + 376090.

Almost surely, 2^248377360 is an apocalyptic number.

248377360 is a gapful number since it is divisible by the number (20) 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 248377360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366440832).

248377360 is an abundant number, since it is smaller than the sum of its proper divisors (484504304).

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

248377360 is a wasteful number, since it uses less digits than its factorization.

248377360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 248377360 is about 15759.9923857850. The cubic root of 248377360 is about 628.5946333425.

The spelling of 248377360 in words is "two hundred forty-eight million, three hundred seventy-seven thousand, three hundred sixty".