405400415 has 64 divisors (see below), whose sum is σ = 606154752. Its totient is φ = 254284800.

The previous prime is 405400409. The next prime is 405400433. The reversal of 405400415 is 514004504.

It is not a de Polignac number, because 405400415 - 2⁶ = 405400351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 63 ways as a sum of consecutive naturals, for example, 2343269 + ... + 2343441.

It is an arithmetic number, because the mean of its divisors is an integer number (9471168).

Almost surely, 2^405400415 is an apocalyptic number.

405400415 is a deficient number, since it is larger than the sum of its proper divisors (200754337).

405400415 is a wasteful number, since it uses less digits than its factorization.

405400415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 405400415 is about 20134.5577304295. The cubic root of 405400415 is about 740.1073711988.

Adding to 405400415 its reverse (514004504), we get a palindrome (919404919).

The spelling of 405400415 in words is "four hundred five million, four hundred thousand, four hundred fifteen".