249403440 has 320 divisors, whose sum is σ = 934940160. Its totient is φ = 54512640.

The previous prime is 249403439. The next prime is 249403457. The reversal of 249403440 is 44304942.

249403440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 249403398 and 249403407.

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, 5800059 + ... + 5800101.

It is an arithmetic number, because the mean of its divisors is an integer number (2921688).

Almost surely, 2^249403440 is an apocalyptic number.

249403440 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 249403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467470080).

249403440 is an abundant number, since it is smaller than the sum of its proper divisors (685536720).

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

249403440 is a wasteful number, since it uses less digits than its factorization.

249403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 249403440 is about 15792.5121497500. The cubic root of 249403440 is about 629.4590468523.

The spelling of 249403440 in words is "two hundred forty-nine million, four hundred three thousand, four hundred forty".