249047400 has 288 divisors, whose sum is σ = 923646240. Its totient is φ = 55319040.

The previous prime is 249047369. The next prime is 249047401. The reversal of 249047400 is 4740942.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (249047401) 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 71 ways as a sum of consecutive naturals, for example, 1264102 + ... + 1264298.

It is an arithmetic number, because the mean of its divisors is an integer number (3207105).

Almost surely, 2^249047400 is an apocalyptic number.

249047400 is a gapful number since it is divisible by the number (20) 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 249047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461823120).

249047400 is an abundant number, since it is smaller than the sum of its proper divisors (674598840).

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

249047400 is a wasteful number, since it uses less digits than its factorization.

249047400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 249047400 is about 15781.2356930628. The cubic root of 249047400 is about 629.1593726525.

The spelling of 249047400 in words is "two hundred forty-nine million, forty-seven thousand, four hundred".