249404640 has 384 divisors, whose sum is σ = 914457600. Its totient is φ = 56770560.

The previous prime is 249404609. The next prime is 249404711. The reversal of 249404640 is 46404942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6083020 + ... + 6083060.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^249404640 is an apocalyptic number.

249404640 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 249404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

249404640 is an abundant number, since it is smaller than the sum of its proper divisors (665052960).

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

249404640 is a wasteful number, since it uses less digits than its factorization.

249404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 249404640 is about 15792.5501423931. The cubic root of 249404640 is about 629.4600563942.

The spelling of 249404640 in words is "two hundred forty-nine million, four hundred four thousand, six hundred forty".