405412540 has 48 divisors (see below), whose sum is σ = 922444992. Its totient is φ = 148778496.

The previous prime is 405412517. The next prime is 405412571. The reversal of 405412540 is 45214504.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38752 + ... + 48088.

It is an arithmetic number, because the mean of its divisors is an integer number (19217604).

Almost surely, 2^405412540 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 405412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461222496).

405412540 is an abundant number, since it is smaller than the sum of its proper divisors (517032452).

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

405412540 is a wasteful number, since it uses less digits than its factorization.

405412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 405412540 is about 20134.8588274167. The cubic root of 405412540 is about 740.1147496754.

The spelling of 405412540 in words is "four hundred five million, four hundred twelve thousand, five hundred forty".