1925958240 has 144 divisors (see below), whose sum is σ = 6684022800. Its totient is φ = 504861696.

The previous prime is 1925958239. The next prime is 1925958253. The reversal of 1925958240 is 428595291.

It is a happy number.

1925958240 is a `hidden beast` number, since 1 + 9 + 25 + 9 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73626 + ... + 96294.

It is an arithmetic number, because the mean of its divisors is an integer number (46416825).

Almost surely, 2^1925958240 is an apocalyptic number.

1925958240 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 1925958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342011400).

1925958240 is an abundant number, since it is smaller than the sum of its proper divisors (4758064560).

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

1925958240 is a wasteful number, since it uses less digits than its factorization.

1925958240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22749 (or 22738 counting only the distinct ones).

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

The square root of 1925958240 is about 43885.7407365992. The cubic root of 1925958240 is about 1244.1773439885.

The spelling of 1925958240 in words is "one billion, nine hundred twenty-five million, nine hundred fifty-eight thousand, two hundred forty".