249538000 has 40 divisors (see below), whose sum is σ = 603387720. Its totient is φ = 99814400.

The previous prime is 249537991. The next prime is 249538021. The reversal of 249538000 is 835942.

It can be written as a sum of positive squares in 4 ways, for example, as 5053504 + 244484496 = 2248^2 + 15636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 60385 + ... + 64384.

It is an arithmetic number, because the mean of its divisors is an integer number (15084693).

Almost surely, 2^249538000 is an apocalyptic number.

249538000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249538000 is an abundant number, since it is smaller than the sum of its proper divisors (353849720).

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

249538000 is a wasteful number, since it uses less digits than its factorization.

249538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124792 (or 124776 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 249538000 is about 15796.7718221161. The cubic root of 249538000 is about 629.5722299760.

The spelling of 249538000 in words is "two hundred forty-nine million, five hundred thirty-eight thousand".