249230520 has 512 divisors, whose sum is σ = 1076889600. Its totient is φ = 50388480.

The previous prime is 249230503. The next prime is 249230521. The reversal of 249230520 is 25032942.

249230520 is a `hidden beast` number, since 24 + 92 + 30 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249230521) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6735942 + ... + 6735978.

It is an arithmetic number, because the mean of its divisors is an integer number (2103300).

Almost surely, 2^249230520 is an apocalyptic number.

249230520 is a gapful number since it is divisible by the number (20) 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 249230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538444800).

249230520 is an abundant number, since it is smaller than the sum of its proper divisors (827659080).

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

249230520 is a wasteful number, since it uses less digits than its factorization.

249230520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 249230520 is about 15787.0364540024. The cubic root of 249230520 is about 629.3135380017.

The spelling of 249230520 in words is "two hundred forty-nine million, two hundred thirty thousand, five hundred twenty".