249509764 has 72 divisors (see below), whose sum is σ = 529887960. Its totient is φ = 102412800.

The previous prime is 249509747. The next prime is 249509789. The reversal of 249509764 is 467905942.

It can be written as a sum of positive squares in 4 ways, for example, as 122500 + 249387264 = 350^2 + 15792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489942 + ... + 490450.

It is an arithmetic number, because the mean of its divisors is an integer number (7359555).

Almost surely, 2^249509764 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 249509764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264943980).

249509764 is an abundant number, since it is smaller than the sum of its proper divisors (280378196).

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

249509764 is a wasteful number, since it uses less digits than its factorization.

249509764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 249509764 is about 15795.8780699270. The cubic root of 249509764 is about 629.5484830624.

The spelling of 249509764 in words is "two hundred forty-nine million, five hundred nine thousand, seven hundred sixty-four".