249434016 has 96 divisors (see below), whose sum is σ = 708704640. Its totient is φ = 76360704.

The previous prime is 249433993. The next prime is 249434021. The reversal of 249434016 is 610434942.

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

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, 335341 + ... + 336083.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^249434016 is an apocalyptic number.

249434016 is a gapful number since it is divisible by the number (26) 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 249434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

249434016 is an abundant number, since it is smaller than the sum of its proper divisors (459270624).

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

249434016 is a wasteful number, since it uses less digits than its factorization.

249434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 249434016 is about 15793.4801737932. The cubic root of 249434016 is about 629.4847689692.

Adding to 249434016 its reverse (610434942), we get a palindrome (859868958).

The spelling of 249434016 in words is "two hundred forty-nine million, four hundred thirty-four thousand, sixteen".