248888640 has 672 divisors, whose sum is σ = 1109130624. Its totient is φ = 46448640.

The previous prime is 248888621. The next prime is 248888663. The reversal of 248888640 is 46888842.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 248888640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726702 + ... + 6726738.

It is an arithmetic number, because the mean of its divisors is an integer number (1650492).

Almost surely, 2^248888640 is an apocalyptic number.

248888640 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 248888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554565312).

248888640 is an abundant number, since it is smaller than the sum of its proper divisors (860241984).

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

248888640 is a wasteful number, since it uses less digits than its factorization.

248888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 248888640 is about 15776.2048668240. The cubic root of 248888640 is about 629.0256543668.

It can be divided in two parts, 248 and 888640, that added together give a palindrome (888888).

The spelling of 248888640 in words is "two hundred forty-eight million, eight hundred eighty-eight thousand, six hundred forty".