248970984 has 64 divisors (see below), whose sum is σ = 693748800. Its totient is φ = 73995264.

The previous prime is 248970977. The next prime is 248970991. The reversal of 248970984 is 489079842.

248970984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248970977) and next prime (248970991).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8307 + ... + 23810.

It is an arithmetic number, because the mean of its divisors is an integer number (10839825).

Almost surely, 2^248970984 is an apocalyptic number.

248970984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248970984 is an abundant number, since it is smaller than the sum of its proper divisors (444777816).

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

248970984 is a wasteful number, since it uses less digits than its factorization.

248970984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32162 (or 32158 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 248970984 is about 15778.8144041306. The cubic root of 248970984 is about 629.0950170844.

The spelling of 248970984 in words is "two hundred forty-eight million, nine hundred seventy thousand, nine hundred eighty-four".