249962328 has 384 divisors, whose sum is σ = 935712000. Its totient is φ = 60963840.

The previous prime is 249962303. The next prime is 249962351. The reversal of 249962328 is 823269942.

It is a nude number because it is divisible by every one of its digits.

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, 2212000 + ... + 2212112.

It is an arithmetic number, because the mean of its divisors is an integer number (2436750).

Almost surely, 2^249962328 is an apocalyptic number.

249962328 is a gapful number since it is divisible by the number (28) 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 249962328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467856000).

249962328 is an abundant number, since it is smaller than the sum of its proper divisors (685749672).

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

249962328 is a wasteful number, since it uses less digits than its factorization.

249962328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 249962328 is about 15810.1969627200. The cubic root of 249962328 is about 629.9288808607.

The spelling of 249962328 in words is "two hundred forty-nine million, nine hundred sixty-two thousand, three hundred twenty-eight".