249008400 has 135 divisors (see below), whose sum is σ = 867426469. Its totient is φ = 66149760.

The previous prime is 249008387. The next prime is 249008411. The reversal of 249008400 is 4800942.

The square root of 249008400 is 15780.

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., 89643024 + 159365376 = 9468^2 + 12624^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 946669 + ... + 946931.

Almost surely, 2^249008400 is an apocalyptic number.

249008400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249008400 is the 15780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249008400

249008400 is an abundant number, since it is smaller than the sum of its proper divisors (618418069).

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

249008400 is a wasteful number, since it uses less digits than its factorization.

249008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 249008400 is about 629.1265295117.

Multiplying 249008400 by its product of nonzero digits (2304), we get a square (573715353600 = 757440²).

The spelling of 249008400 in words is "two hundred forty-nine million, eight thousand, four hundred".