1929405625 has 45 divisors (see below), whose sum is σ = 2815833801. Its totient is φ = 1317750000.

The previous prime is 1929405581. The next prime is 1929405631. The reversal of 1929405625 is 5265049291.

The square root of 1929405625 is 43925.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 151265401 + 1778140224 = 12299^2 + 42168^2 .

It is not a de Polignac number, because 1929405625 - 2²⁹ = 1392534713 is a prime.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 7686750 + ... + 7687000.

Almost surely, 2^1929405625 is an apocalyptic number.

1929405625 is the 43925-th square number.

1929405625 is the 21963-rd centered octagonal number.

It is an amenable number.

1929405625 is a deficient number, since it is larger than the sum of its proper divisors (886428176).

1929405625 is an frugal number, since it uses more digits than its factorization.

1929405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The cubic root of 1929405625 is about 1244.9192433761.

The spelling of 1929405625 in words is "one billion, nine hundred twenty-nine million, four hundred five thousand, six hundred twenty-five".