249214368 has 96 divisors (see below), whose sum is σ = 707688576. Its totient is φ = 76336128.

The previous prime is 249214337. The next prime is 249214403. The reversal of 249214368 is 863412942.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 495205 + ... + 495707.

It is an arithmetic number, because the mean of its divisors is an integer number (7371756).

Almost surely, 2^249214368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353844288).

249214368 is an abundant number, since it is smaller than the sum of its proper divisors (458474208).

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

249214368 is a wasteful number, since it uses less digits than its factorization.

249214368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 249214368 is about 15786.5248867507. The cubic root of 249214368 is about 629.2999429681.

The spelling of 249214368 in words is "two hundred forty-nine million, two hundred fourteen thousand, three hundred sixty-eight".