402135405 has 48 divisors (see below), whose sum is σ = 752301504. Its totient is φ = 182891520.

The previous prime is 402135389. The next prime is 402135443. The reversal of 402135405 is 504531204.

It is not a de Polignac number, because 402135405 - 2⁴ = 402135389 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153789 + ... + 156381.

It is an arithmetic number, because the mean of its divisors is an integer number (15672948).

Almost surely, 2^402135405 is an apocalyptic number.

It is an amenable number.

402135405 is a deficient number, since it is larger than the sum of its proper divisors (350166099).

402135405 is a wasteful number, since it uses less digits than its factorization.

402135405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 402135405 is about 20053.3140652611. The cubic root of 402135405 is about 738.1151233072.

Adding to 402135405 its reverse (504531204), we get a palindrome (906666609).

The spelling of 402135405 in words is "four hundred two million, one hundred thirty-five thousand, four hundred five".