405305340 has 96 divisors (see below), whose sum is σ = 1303223040. Its totient is φ = 93081600.

The previous prime is 405305339. The next prime is 405305413. The reversal of 405305340 is 43503504.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 405305340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3621 + ... + 28700.

It is an arithmetic number, because the mean of its divisors is an integer number (13575240).

Almost surely, 2^405305340 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 405305340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651611520).

405305340 is an abundant number, since it is smaller than the sum of its proper divisors (897917700).

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

405305340 is a wasteful number, since it uses less digits than its factorization.

405305340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32363 (or 32361 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 405305340 is about 20132.1966014640. The cubic root of 405305340 is about 740.0495097140.

Adding to 405305340 its reverse (43503504), we get a palindrome (448808844).

The spelling of 405305340 in words is "four hundred five million, three hundred five thousand, three hundred forty".