249565428 has 96 divisors (see below), whose sum is σ = 754656000. Its totient is φ = 71293824.

The previous prime is 249565397. The next prime is 249565429. The reversal of 249565428 is 824565942.

249565428 is a `hidden beast` number, since 2 + 49 + 565 + 42 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249565429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33676 + ... + 40412.

It is an arithmetic number, because the mean of its divisors is an integer number (7861000).

Almost surely, 2^249565428 is an apocalyptic number.

249565428 is a gapful number since it is divisible by the number (28) 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 249565428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377328000).

249565428 is an abundant number, since it is smaller than the sum of its proper divisors (505090572).

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

249565428 is a wasteful number, since it uses less digits than its factorization.

249565428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6749 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 249565428 is about 15797.6399503217. The cubic root of 249565428 is about 629.5952956340.

The spelling of 249565428 in words is "two hundred forty-nine million, five hundred sixty-five thousand, four hundred twenty-eight".