249153828 has 96 divisors (see below), whose sum is σ = 739737600. Its totient is φ = 64703520.

The previous prime is 249153823. The next prime is 249153841. The reversal of 249153828 is 828351942.

249153828 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 249153828.

It is not an unprimeable number, because it can be changed into a prime (249153823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42525 + ... + 48027.

It is an arithmetic number, because the mean of its divisors is an integer number (7705600).

Almost surely, 2^249153828 is an apocalyptic number.

249153828 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 249153828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369868800).

249153828 is an abundant number, since it is smaller than the sum of its proper divisors (490583772).

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

249153828 is a wasteful number, since it uses less digits than its factorization.

249153828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5526 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 249153828 is about 15784.6073121887. The cubic root of 249153828 is about 629.2489816154.

The spelling of 249153828 in words is "two hundred forty-nine million, one hundred fifty-three thousand, eight hundred twenty-eight".