249324100 has 27 divisors (see below), whose sum is σ = 541376157. Its totient is φ = 99666480.

The previous prime is 249324077. The next prime is 249324109. The reversal of 249324100 is 1423942.

The square root of 249324100 is 15790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89756676 + 159567424 = 9474^2 + 12632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249324109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157111 + ... + 158689.

Almost surely, 2^249324100 is an apocalyptic number.

249324100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249324100 is the 15790-th square number.

It is an amenable number.

249324100 is an abundant number, since it is smaller than the sum of its proper divisors (292052057).

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

249324100 is an equidigital number, since it uses as much as digits as its factorization.

249324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 249324100 is about 629.3922921229.

Multiplying 249324100 by its sum of digits (25), we get a square (6233102500 = 78950²).

249324100 divided by its sum of digits (25) gives a square (9972964 = 3158²).

The spelling of 249324100 in words is "two hundred forty-nine million, three hundred twenty-four thousand, one hundred".