1925354880 has 256 divisors, whose sum is σ = 6924902400. Its totient is φ = 505460736.

The previous prime is 1925354807. The next prime is 1925354881. The reversal of 1925354880 is 884535291.

1925354880 is a `hidden beast` number, since 1 + 9 + 25 + 3 + 548 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925354881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156929 + ... + 1158591.

It is an arithmetic number, because the mean of its divisors is an integer number (27050400).

Almost surely, 2^1925354880 is an apocalyptic number.

1925354880 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 1925354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462451200).

1925354880 is an abundant number, since it is smaller than the sum of its proper divisors (4999547520).

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

1925354880 is a wasteful number, since it uses less digits than its factorization.

1925354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1925354880 is about 43878.8659835233. The cubic root of 1925354880 is about 1244.0474060297.

The spelling of 1925354880 in words is "one billion, nine hundred twenty-five million, three hundred fifty-four thousand, eight hundred eighty".