900946144 has 144 divisors (see below), whose sum is σ = 2219410368. Its totient is φ = 357654528.

The previous prime is 900946141. The next prime is 900946147. The reversal of 900946144 is 441649009.

900946144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (900946141) and next prime (900946147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900946141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1945657 + ... + 1946119.

It is an arithmetic number, because the mean of its divisors is an integer number (15412572).

Almost surely, 2^900946144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900946144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109705184).

900946144 is an abundant number, since it is smaller than the sum of its proper divisors (1318464224).

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

900946144 is a wasteful number, since it uses less digits than its factorization.

900946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 900946144 is about 30015.7649244526. The cubic root of 900946144 is about 965.8275964819.

The spelling of 900946144 in words is "nine hundred million, nine hundred forty-six thousand, one hundred forty-four".