248348544 has 64 divisors (see below), whose sum is σ = 694416000. Its totient is φ = 78423552.

The previous prime is 248348509. The next prime is 248348579. The reversal of 248348544 is 445843842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248348509) and next prime (248348579).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 248348496 and 248348505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9724 + ... + 24315.

It is an arithmetic number, because the mean of its divisors is an integer number (10850250).

Almost surely, 2^248348544 is an apocalyptic number.

248348544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248348544 is an abundant number, since it is smaller than the sum of its proper divisors (446067456).

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

248348544 is a wasteful number, since it uses less digits than its factorization.

248348544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34075 (or 34063 counting only the distinct ones).

The product of its digits is 491520, while the sum is 42.

The square root of 248348544 is about 15759.0781456277. The cubic root of 248348544 is about 628.5703231779.

The spelling of 248348544 in words is "two hundred forty-eight million, three hundred forty-eight thousand, five hundred forty-four".