405096129 has 9 divisors (see below), whose sum is σ = 585226083. Its totient is φ = 270023832.

The previous prime is 405096103. The next prime is 405096143. The reversal of 405096129 is 921690504.

The square root of 405096129 is 20127.

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

It can be written as a sum of positive squares in only one way, i.e., 268206129 + 136890000 = 16377^2 + 11700^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 405096129 - 2⁷ = 405096001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405096093 and 405096102.

It is not an unprimeable number, because it can be changed into a prime (405096229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57027 + ... + 63735.

Almost surely, 2^405096129 is an apocalyptic number.

405096129 is the 20127-th square number.

405096129 is the 10064-th centered octagonal number.

It is an amenable number.

405096129 is a deficient number, since it is larger than the sum of its proper divisors (180129954).

405096129 is an frugal number, since it uses more digits than its factorization.

405096129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13424 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 405096129 is about 739.9221545821.

Multiplying 405096129 by its sum of digits (36), we get a square (14583460644 = 120762²).

The spelling of 405096129 in words is "four hundred five million, ninety-six thousand, one hundred twenty-nine".