405135500 has 192 divisors, whose sum is σ = 1169925120. Its totient is φ = 118656000.

The previous prime is 405135469. The next prime is 405135503. The reversal of 405135500 is 5531504.

It is not an unprimeable number, because it can be changed into a prime (405135503) 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 63 ways as a sum of consecutive naturals, for example, 654191 + ... + 654809.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^405135500 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 405135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

405135500 is an abundant number, since it is smaller than the sum of its proper divisors (764789620).

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

405135500 is a wasteful number, since it uses less digits than its factorization.

405135500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 405135500 is about 20127.9780405286. The cubic root of 405135500 is about 739.9461246387.

The spelling of 405135500 in words is "four hundred five million, one hundred thirty-five thousand, five hundred".