248995320 has 128 divisors (see below), whose sum is σ = 856880640. Its totient is φ = 56701440.

The previous prime is 248995303. The next prime is 248995321. The reversal of 248995320 is 23599842.

248995320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248995321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386919 + ... + 387561.

It is an arithmetic number, because the mean of its divisors is an integer number (6694380).

Almost surely, 2^248995320 is an apocalyptic number.

248995320 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 248995320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428440320).

248995320 is an abundant number, since it is smaller than the sum of its proper divisors (607885320).

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

248995320 is a wasteful number, since it uses less digits than its factorization.

248995320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 248995320 is about 15779.5855458881. The cubic root of 248995320 is about 629.1155136596.

The spelling of 248995320 in words is "two hundred forty-eight million, nine hundred ninety-five thousand, three hundred twenty".