900073944 has 288 divisors, whose sum is σ = 3211790400. Its totient is φ = 233513280.

The previous prime is 900073921. The next prime is 900073987. The reversal of 900073944 is 449370009.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 900073899 and 900073908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047387 + ... + 1048245.

It is an arithmetic number, because the mean of its divisors is an integer number (11152050).

Almost surely, 2^900073944 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 900073944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605895200).

900073944 is an abundant number, since it is smaller than the sum of its proper divisors (2311716456).

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

900073944 is a wasteful number, since it uses less digits than its factorization.

900073944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 900073944 is about 30001.2323746875. The cubic root of 900073944 is about 965.5158254175.

It can be divided in two parts, 9000 and 73944, that added together give a square (82944 = 288²).

The spelling of 900073944 in words is "nine hundred million, seventy-three thousand, nine hundred forty-four".