405145107 has 36 divisors (see below), whose sum is σ = 610853880. Its totient is φ = 258733440.

The previous prime is 405145093. The next prime is 405145127. The reversal of 405145107 is 701541504.

It is a happy number.

405145107 is a `hidden beast` number, since 40 + 514 + 5 + 107 = 666.

It is not a de Polignac number, because 405145107 - 2⁷ = 405144979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405145127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1202043 + ... + 1202379.

Almost surely, 2^405145107 is an apocalyptic number.

405145107 is a deficient number, since it is larger than the sum of its proper divisors (205708773).

405145107 is a wasteful number, since it uses less digits than its factorization.

405145107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 405145107 is about 20128.2166870292. The cubic root of 405145107 is about 739.9519733866.

The spelling of 405145107 in words is "four hundred five million, one hundred forty-five thousand, one hundred seven".