248920000 has 210 divisors, whose sum is σ = 723668352. Its totient is φ = 84672000.

The previous prime is 248919989. The next prime is 248920031. The reversal of 248920000 is 29842.

It is a super-2 number, since 2×248920000² = 123922332800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1959937 + ... + 1960063.

Almost surely, 2^248920000 is an apocalyptic number.

248920000 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 248920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361834176).

248920000 is an abundant number, since it is smaller than the sum of its proper divisors (474748352).

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

248920000 is an equidigital number, since it uses as much as digits as its factorization.

248920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 248920000 is about 15777.1987374185. The cubic root of 248920000 is about 629.0520723612.

Adding to 248920000 its reverse (29842), we get a palindrome (248949842).

The spelling of 248920000 in words is "two hundred forty-eight million, nine hundred twenty thousand".