409252900 has 135 divisors (see below), whose sum is σ = 1097637429. Its totient is φ = 132061440.

The previous prime is 409252897. The next prime is 409252903. The reversal of 409252900 is 9252904.

The square root of 409252900 is 20230.

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

It is an interprime number because it is at equal distance from previous prime (409252897) and next prime (409252903).

It can be written as a sum of positive squares in 7 ways, for example, as 44595684 + 364657216 = 6678^2 + 19096^2 .

It is not an unprimeable number, because it can be changed into a prime (409252903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24073692 + ... + 24073708.

Almost surely, 2^409252900 is an apocalyptic number.

409252900 is the 20230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409252900

409252900 is an abundant number, since it is smaller than the sum of its proper divisors (688384529).

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

409252900 is an equidigital number, since it uses as much as digits as its factorization.

409252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 409252900 is about 742.4443760361. Note that the first 3 decimals are identical.

The spelling of 409252900 in words is "four hundred nine million, two hundred fifty-two thousand, nine hundred".