248790240 has 144 divisors (see below), whose sum is σ = 899026128. Its totient is φ = 62435328.

The previous prime is 248790233. The next prime is 248790247. The reversal of 248790240 is 42097842.

248790240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248790233) and next prime (248790247).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248790195 and 248790204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248790247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19399 + ... + 29561.

It is an arithmetic number, because the mean of its divisors is an integer number (6243237).

Almost surely, 2^248790240 is an apocalyptic number.

248790240 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 248790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449513064).

248790240 is an abundant number, since it is smaller than the sum of its proper divisors (650235888).

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

248790240 is a wasteful number, since it uses less digits than its factorization.

248790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 248790240 is about 15773.0859377612. The cubic root of 248790240 is about 628.9427467618.

The spelling of 248790240 in words is "two hundred forty-eight million, seven hundred ninety thousand, two hundred forty".