405442356 has 96 divisors (see below), whose sum is σ = 1074264576. Its totient is φ = 117936000.

The previous prime is 405442327. The next prime is 405442357. The reversal of 405442356 is 653244504.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405442357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345651 + ... + 346821.

It is an arithmetic number, because the mean of its divisors is an integer number (11190256).

Almost surely, 2^405442356 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 405442356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537132288).

405442356 is an abundant number, since it is smaller than the sum of its proper divisors (668822220).

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

405442356 is a wasteful number, since it uses less digits than its factorization.

405442356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 405442356 is about 20135.5992212797. The cubic root of 405442356 is about 740.1328931040.

The spelling of 405442356 in words is "four hundred five million, four hundred forty-two thousand, three hundred fifty-six".