248469984 has 144 divisors (see below), whose sum is σ = 843166800. Its totient is φ = 70979328.

The previous prime is 248469983. The next prime is 248470009. The reversal of 248469984 is 489964842.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 248469984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248469983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39402 + ... + 45270.

It is an arithmetic number, because the mean of its divisors is an integer number (5855325).

Almost surely, 2^248469984 is an apocalyptic number.

248469984 is a gapful number since it is divisible by the number (24) 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 248469984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421583400).

248469984 is an abundant number, since it is smaller than the sum of its proper divisors (594696816).

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

248469984 is a wasteful number, since it uses less digits than its factorization.

248469984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5881 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 248469984 is about 15762.9306919748. The cubic root of 248469984 is about 628.6727613884.

The spelling of 248469984 in words is "two hundred forty-eight million, four hundred sixty-nine thousand, nine hundred eighty-four".