248889984 has 64 divisors (see below), whose sum is σ = 755567040. Its totient is φ = 71110656.

The previous prime is 248889983. The next prime is 248889989. The reversal of 248889984 is 489988842.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (248889983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43609 + ... + 48984.

It is an arithmetic number, because the mean of its divisors is an integer number (11805735).

Almost surely, 2^248889984 is an apocalyptic number.

248889984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248889984 is an abundant number, since it is smaller than the sum of its proper divisors (506677056).

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

248889984 is an equidigital number, since it uses as much as digits as its factorization.

248889984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92617 (or 92605 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 60.

The square root of 248889984 is about 15776.2474625622. The cubic root of 248889984 is about 629.0267866121.

The spelling of 248889984 in words is "two hundred forty-eight million, eight hundred eighty-nine thousand, nine hundred eighty-four".