248959440 has 80 divisors (see below), whose sum is σ = 857534400. Its totient is φ = 66388608.

The previous prime is 248959439. The next prime is 248959457. The reversal of 248959440 is 44959842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×248959440² = 123961605530227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 55470 + ... + 59789.

It is an arithmetic number, because the mean of its divisors is an integer number (10719180).

Almost surely, 2^248959440 is an apocalyptic number.

248959440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248959440 is an abundant number, since it is smaller than the sum of its proper divisors (608574960).

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

248959440 is a wasteful number, since it uses less digits than its factorization.

248959440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115281 (or 115269 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 248959440 is about 15778.4485929384. The cubic root of 248959440 is about 629.0852938829.

The spelling of 248959440 in words is "two hundred forty-eight million, nine hundred fifty-nine thousand, four hundred forty".