405660465 has 36 divisors (see below), whose sum is σ = 817948404. Its totient is φ = 185443776.

The previous prime is 405660457. The next prime is 405660491. The reversal of 405660465 is 564066504.

It is a happy number.

405660465 is a `hidden beast` number, since 40 + 5 + 6 + 604 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 290054961 = 10752^2 + 17031^2 .

It is not a de Polignac number, because 405660465 - 2³ = 405660457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89782 + ... + 94191.

It is an arithmetic number, because the mean of its divisors is an integer number (22720789).

Almost surely, 2^405660465 is an apocalyptic number.

405660465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405660465 is an abundant number, since it is smaller than the sum of its proper divisors (412287939).

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

405660465 is a wasteful number, since it uses less digits than its factorization.

405660465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183998 (or 183988 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 405660465 is about 20141.0144977854. The cubic root of 405660465 is about 740.2655882572.

The spelling of 405660465 in words is "four hundred five million, six hundred sixty thousand, four hundred sixty-five".