249489504 has 96 divisors (see below), whose sum is σ = 793860480. Its totient is φ = 75600000.

The previous prime is 249489481. The next prime is 249489547. The reversal of 249489504 is 405984942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 249489504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3622 + ... + 22629.

It is an arithmetic number, because the mean of its divisors is an integer number (8269380).

Almost surely, 2^249489504 is an apocalyptic number.

249489504 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 249489504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396930240).

249489504 is an abundant number, since it is smaller than the sum of its proper divisors (544370976).

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

249489504 is a wasteful number, since it uses less digits than its factorization.

249489504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26281 (or 26267 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 249489504 is about 15795.2367503624. The cubic root of 249489504 is about 629.5314429844.

The spelling of 249489504 in words is "two hundred forty-nine million, four hundred eighty-nine thousand, five hundred four".