249146900 has 108 divisors (see below), whose sum is σ = 592376148. Its totient is φ = 90869760.

The previous prime is 249146899. The next prime is 249146903. The reversal of 249146900 is 9641942.

It can be written as a sum of positive squares in 18 ways, for example, as 71031184 + 178115716 = 8428^2 + 13346^2 .

It is a super-2 number, since 2×249146900² = 124148355559220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249146903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1069184 + ... + 1069416.

Almost surely, 2^249146900 is an apocalyptic number.

249146900 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 249146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296188074).

249146900 is an abundant number, since it is smaller than the sum of its proper divisors (343229248).

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

249146900 is a wasteful number, since it uses less digits than its factorization.

249146900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 249146900 is about 15784.3878563598. The cubic root of 249146900 is about 629.2431492382.

The spelling of 249146900 in words is "two hundred forty-nine million, one hundred forty-six thousand, nine hundred".