900144810 has 48 divisors (see below), whose sum is σ = 2363122944. Its totient is φ = 237705696.

The previous prime is 900144809. The next prime is 900144821. The reversal of 900144810 is 18441009.

It is a super-2 number, since 2×900144810² = 1620521357939872200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39282 + ... + 57821.

It is an arithmetic number, because the mean of its divisors is an integer number (49231728).

Almost surely, 2^900144810 is an apocalyptic number.

900144810 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

900144810 is an abundant number, since it is smaller than the sum of its proper divisors (1462978134).

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

900144810 is a wasteful number, since it uses less digits than its factorization.

900144810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97219 (or 97216 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 900144810 is about 30002.4134029248. The cubic root of 900144810 is about 965.5411642426.

Adding to 900144810 its reverse (18441009), we get a palindrome (918585819).

The spelling of 900144810 in words is "nine hundred million, one hundred forty-four thousand, eight hundred ten".