249829440 has 336 divisors, whose sum is σ = 950683392. Its totient is φ = 55394304.

The previous prime is 249829421. The next prime is 249829453. The reversal of 249829440 is 44928942.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 249829392 and 249829401.

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, 2210824 + ... + 2210936.

Almost surely, 2^249829440 is an apocalyptic number.

249829440 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 249829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475341696).

249829440 is an abundant number, since it is smaller than the sum of its proper divisors (700853952).

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

249829440 is a wasteful number, since it uses less digits than its factorization.

249829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 249829440 is about 15805.9937998216. The cubic root of 249829440 is about 629.8172309327.

The spelling of 249829440 in words is "two hundred forty-nine million, eight hundred twenty-nine thousand, four hundred forty".