1925460096 has 192 divisors, whose sum is σ = 6143304960. Its totient is φ = 532224000.

The previous prime is 1925460079. The next prime is 1925460107. The reversal of 1925460096 is 6900645291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 581646 + ... + 584946.

It is an arithmetic number, because the mean of its divisors is an integer number (31996380).

Almost surely, 2^1925460096 is an apocalyptic number.

1925460096 is a gapful number since it is divisible by the number (16) 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 1925460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071652480).

1925460096 is an abundant number, since it is smaller than the sum of its proper divisors (4217844864).

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

1925460096 is a wasteful number, since it uses less digits than its factorization.

1925460096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1925460096 is about 43880.0649042364. The cubic root of 1925460096 is about 1244.0700670136.

The spelling of 1925460096 in words is "one billion, nine hundred twenty-five million, four hundred sixty thousand, ninety-six".