1890450144 has 384 divisors, whose sum is σ = 6568128000. Its totient is φ = 523998720.

The previous prime is 1890450143. The next prime is 1890450193. The reversal of 1890450144 is 4410540981.

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 = 1890450099 and 1890450108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890450143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 65187922 + ... + 65187950.

It is an arithmetic number, because the mean of its divisors is an integer number (17104500).

Almost surely, 2^1890450144 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 1890450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284064000).

1890450144 is an abundant number, since it is smaller than the sum of its proper divisors (4677677856).

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

1890450144 is a wasteful number, since it uses less digits than its factorization.

1890450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1890450144 is about 43479.3070781953. The cubic root of 1890450144 is about 1236.4837393916.

The spelling of 1890450144 in words is "one billion, eight hundred ninety million, four hundred fifty thousand, one hundred forty-four".