249359040 has 672 divisors, whose sum is σ = 1111910400. Its totient is φ = 52254720.

The previous prime is 249359003. The next prime is 249359053. The reversal of 249359040 is 40953942.

249359040 is a `hidden beast` number, since 24 + 9 + 3 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 249358986 and 249359004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8043825 + ... + 8043855.

Almost surely, 2^249359040 is an apocalyptic number.

249359040 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 249359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555955200).

249359040 is an abundant number, since it is smaller than the sum of its proper divisors (862551360).

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

249359040 is a wasteful number, since it uses less digits than its factorization.

249359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 249359040 is about 15791.1063576939. The cubic root of 249359040 is about 629.4216915264.

The spelling of 249359040 in words is "two hundred forty-nine million, three hundred fifty-nine thousand, forty".