248617840 has 40 divisors (see below), whose sum is σ = 579494160. Its totient is φ = 99196416.

The previous prime is 248617829. The next prime is 248617847. The reversal of 248617840 is 48716842.

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

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 248617793 and 248617802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248617847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29812 + ... + 37228.

It is an arithmetic number, because the mean of its divisors is an integer number (14487354).

Almost surely, 2^248617840 is an apocalyptic number.

248617840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248617840 is an abundant number, since it is smaller than the sum of its proper divisors (330876320).

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

248617840 is a wasteful number, since it uses less digits than its factorization.

248617840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 248617840 is about 15767.6199852736. The cubic root of 248617840 is about 628.7974372234.

The spelling of 248617840 in words is "two hundred forty-eight million, six hundred seventeen thousand, eight hundred forty".