248769840 has 320 divisors, whose sum is σ = 933368832. Its totient is φ = 54067200.

The previous prime is 248769821. The next prime is 248769847. The reversal of 248769840 is 48967842.

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 248769840.

It is not an unprimeable number, because it can be changed into a prime (248769847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1032120 + ... + 1032360.

Almost surely, 2^248769840 is an apocalyptic number.

248769840 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 248769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466684416).

248769840 is an abundant number, since it is smaller than the sum of its proper divisors (684598992).

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

248769840 is a wasteful number, since it uses less digits than its factorization.

248769840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 248769840 is about 15772.4392533305. The cubic root of 248769840 is about 628.9255558640.

It can be divided in two parts, 24876 and 9840, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 248769840 in words is "two hundred forty-eight million, seven hundred sixty-nine thousand, eight hundred forty".