405440010 has 96 divisors (see below), whose sum is σ = 1125895680. Its totient is φ = 101001600.

The previous prime is 405440003. The next prime is 405440017. The reversal of 405440010 is 10044504.

It is an interprime number because it is at equal distance from previous prime (405440003) and next prime (405440017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (405440017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78405 + ... + 83415.

It is an arithmetic number, because the mean of its divisors is an integer number (11728080).

Almost surely, 2^405440010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562947840).

405440010 is an abundant number, since it is smaller than the sum of its proper divisors (720455670).

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

405440010 is a wasteful number, since it uses less digits than its factorization.

405440010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 405440010 is about 20135.5409661623. The cubic root of 405440010 is about 740.1314655643.

Adding to 405440010 its reverse (10044504), we get a palindrome (415484514).

The spelling of 405440010 in words is "four hundred five million, four hundred forty thousand, ten".