249413760 has 384 divisors, whose sum is σ = 945172800. Its totient is φ = 60383232.

The previous prime is 249413719. The next prime is 249413777. The reversal of 249413760 is 67314942.

249413760 is a `hidden beast` number, since 249 + 41 + 376 + 0 = 666.

249413760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4705894 + ... + 4705946.

Almost surely, 2^249413760 is an apocalyptic number.

249413760 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 249413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472586400).

249413760 is an abundant number, since it is smaller than the sum of its proper divisors (695759040).

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

249413760 is a wasteful number, since it uses less digits than its factorization.

249413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 249413760 is about 15792.8388834940. The cubic root of 249413760 is about 629.4677288065.

The spelling of 249413760 in words is "two hundred forty-nine million, four hundred thirteen thousand, seven hundred sixty".