248709120 has 272 divisors, whose sum is σ = 905962752. Its totient is φ = 57671680.

The previous prime is 248709103. The next prime is 248709121. The reversal of 248709120 is 21907842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (248709121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10813429 + ... + 10813451.

Almost surely, 2^248709120 is an apocalyptic number.

248709120 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 248709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452981376).

248709120 is an abundant number, since it is smaller than the sum of its proper divisors (657253632).

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

248709120 is an equidigital number, since it uses as much as digits as its factorization.

248709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 248709120 is about 15770.5142592117. The cubic root of 248709120 is about 628.8743821001.

The spelling of 248709120 in words is "two hundred forty-eight million, seven hundred nine thousand, one hundred twenty".