405538965 has 48 divisors (see below), whose sum is σ = 759507840. Its totient is φ = 198990720.

The previous prime is 405538957. The next prime is 405538979. The reversal of 405538965 is 569835504.

405538965 is a `hidden beast` number, since 4 + 0 + 553 + 8 + 96 + 5 = 666.

It is not a de Polignac number, because 405538965 - 2³ = 405538957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 405538965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209050 + ... + 210980.

It is an arithmetic number, because the mean of its divisors is an integer number (15823080).

Almost surely, 2^405538965 is an apocalyptic number.

405538965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405538965 is a deficient number, since it is larger than the sum of its proper divisors (353968875).

405538965 is a wasteful number, since it uses less digits than its factorization.

405538965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 405538965 is about 20137.9980385340. The cubic root of 405538965 is about 740.1916748428.

The spelling of 405538965 in words is "four hundred five million, five hundred thirty-eight thousand, nine hundred sixty-five".