1889425440 has 480 divisors, whose sum is σ = 7771800960. Its totient is φ = 423346176.

The previous prime is 1889425423. The next prime is 1889425451. The reversal of 1889425440 is 445249881.

1889425440 is a `hidden beast` number, since 18 + 8 + 94 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5352304 + ... + 5352656.

It is an arithmetic number, because the mean of its divisors is an integer number (16191252).

Almost surely, 2^1889425440 is an apocalyptic number.

1889425440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1889425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885900480).

1889425440 is an abundant number, since it is smaller than the sum of its proper divisors (5882375520).

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

1889425440 is a wasteful number, since it uses less digits than its factorization.

1889425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1889425440 is about 43467.5216684825. The cubic root of 1889425440 is about 1236.2602901716.

The spelling of 1889425440 in words is "one billion, eight hundred eighty-nine million, four hundred twenty-five thousand, four hundred forty".