248209920 has 560 divisors, whose sum is σ = 1073413440. Its totient is φ = 53747712.

The previous prime is 248209919. The next prime is 248209921. The reversal of 248209920 is 29902842.

It is an interprime number because it is at equal distance from previous prime (248209919) and next prime (248209921).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248209921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063671 + ... + 13063689.

Almost surely, 2^248209920 is an apocalyptic number.

248209920 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 248209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536706720).

248209920 is an abundant number, since it is smaller than the sum of its proper divisors (825203520).

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

248209920 is an frugal number, since it uses more digits than its factorization.

248209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 248209920 is about 15754.6793048922. The cubic root of 248209920 is about 628.4533489334.

The spelling of 248209920 in words is "two hundred forty-eight million, two hundred nine thousand, nine hundred twenty".