405356 has 24 divisors (see below), whose sum is σ = 838656. Its totient is φ = 167760.

The previous prime is 405347. The next prime is 405373. The reversal of 405356 is 653504.

405356 = 99² + 100² + ... + 129².

405356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 635 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2⁴⁰⁵³⁵⁶ 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 405356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328).

405356 is an abundant number, since it is smaller than the sum of its proper divisors (433300).

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

405356 is a wasteful number, since it uses less digits than its factorization.

405356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 405356 is about 636.6757416456. The cubic root of 405356 is about 74.0080341898.

The spelling of 405356 in words is "four hundred five thousand, three hundred fifty-six".