248097840 has 40 divisors (see below), whose sum is σ = 769104048. Its totient is φ = 66159360.

The previous prime is 248097827. The next prime is 248097853. The reversal of 248097840 is 48790842.

It is an interprime number because it is at equal distance from previous prime (248097827) and next prime (248097853).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 248097792 and 248097801.

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 7 ways as a sum of consecutive naturals, for example, 516631 + ... + 517110.

Almost surely, 2^248097840 is an apocalyptic number.

248097840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248097840 is an abundant number, since it is smaller than the sum of its proper divisors (521006208).

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

248097840 is a wasteful number, since it uses less digits than its factorization.

248097840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033757 (or 1033751 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 248097840 is about 15751.1218648070. The cubic root of 248097840 is about 628.3587413044.

The spelling of 248097840 in words is "two hundred forty-eight million, ninety-seven thousand, eight hundred forty".