1985425920 has 480 divisors, whose sum is σ = 7531915248. Its totient is φ = 481296384.

The previous prime is 1985425891. The next prime is 1985425961. The reversal of 1985425920 is 295245891.

It is a happy number.

1985425920 is a `hidden beast` number, since 1 + 9 + 8 + 54 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1629575424 + 355850496 = 40368^2 + 18864^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14492092 + ... + 14492228.

Almost surely, 2^1985425920 is an apocalyptic number.

1985425920 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 1985425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765957624).

1985425920 is an abundant number, since it is smaller than the sum of its proper divisors (5546489328).

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

1985425920 is a wasteful number, since it uses less digits than its factorization.

1985425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1985425920 is about 44558.1184521968. The cubic root of 1985425920 is about 1256.8532209572.

The spelling of 1985425920 in words is "one billion, nine hundred eighty-five million, four hundred twenty-five thousand, nine hundred twenty".