405504660 has 96 divisors (see below), whose sum is σ = 1242243072. Its totient is φ = 98017920.

The previous prime is 405504647. The next prime is 405504661. The reversal of 405504660 is 66405504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405504661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304917 + ... + 306243.

It is an arithmetic number, because the mean of its divisors is an integer number (12940032).

Almost surely, 2^405504660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405504660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621121536).

405504660 is an abundant number, since it is smaller than the sum of its proper divisors (836738412).

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

405504660 is a wasteful number, since it uses less digits than its factorization.

405504660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 405504660 is about 20137.1462724985. The cubic root of 405504660 is about 740.1708030372.

The spelling of 405504660 in words is "four hundred five million, five hundred four thousand, six hundred sixty".