249869424 has 240 divisors, whose sum is σ = 814233600. Its totient is φ = 65640960.

The previous prime is 249869413. The next prime is 249869441. The reversal of 249869424 is 424968942.

249869424 = T₄₅₅ + T₄₅₆ + ... + T₁₁₆₇.

249869424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1676902 + ... + 1677050.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^249869424 is an apocalyptic number.

249869424 is a gapful number since it is divisible by the number (24) 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 249869424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

249869424 is an abundant number, since it is smaller than the sum of its proper divisors (564364176).

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

249869424 is a wasteful number, since it uses less digits than its factorization.

249869424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 249869424 is about 15807.2585858523. The cubic root of 249869424 is about 629.8508288796.

The spelling of 249869424 in words is "two hundred forty-nine million, eight hundred sixty-nine thousand, four hundred twenty-four".