405105376 has 48 divisors (see below), whose sum is σ = 909440784. Its totient is φ = 175970304.

The previous prime is 405105347. The next prime is 405105377. The reversal of 405105376 is 673501504.

It is a super-2 number, since 2×405105376² = 328220731328202752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405105377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21570 + ... + 35713.

It is an arithmetic number, because the mean of its divisors is an integer number (18946683).

Almost surely, 2^405105376 is an apocalyptic number.

It is an amenable number.

405105376 is an abundant number, since it is smaller than the sum of its proper divisors (504335408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405105376 is a wasteful number, since it uses less digits than its factorization.

405105376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57323 (or 57315 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 405105376 is about 20127.2297149906. The cubic root of 405105376 is about 739.9277845282.

The spelling of 405105376 in words is "four hundred five million, one hundred five thousand, three hundred seventy-six".