1925964040 has 256 divisors, whose sum is σ = 5887365120. Its totient is φ = 547568640.

The previous prime is 1925964031. The next prime is 1925964043. The reversal of 1925964040 is 404695291.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1925963984 and 1925964002.

It is not an unprimeable number, because it can be changed into a prime (1925964043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4123887 + ... + 4124353.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 2^1925964040 is an apocalyptic number.

1925964040 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 1925964040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943682560).

1925964040 is an abundant number, since it is smaller than the sum of its proper divisors (3961401080).

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

1925964040 is a wasteful number, since it uses less digits than its factorization.

1925964040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1925964040 is about 43885.8068172388. The cubic root of 1925964040 is about 1244.1785929289.

The spelling of 1925964040 in words is "one billion, nine hundred twenty-five million, nine hundred sixty-four thousand, forty".