405117140 has 48 divisors (see below), whose sum is σ = 903571200. Its totient is φ = 152044032.

The previous prime is 405117131. The next prime is 405117151. The reversal of 405117140 is 41711504.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120401 + ... + 123719.

It is an arithmetic number, because the mean of its divisors is an integer number (18824400).

Almost surely, 2^405117140 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 405117140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451785600).

405117140 is an abundant number, since it is smaller than the sum of its proper divisors (498454060).

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

405117140 is a wasteful number, since it uses less digits than its factorization.

405117140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 405117140 is about 20127.5219537826. The cubic root of 405117140 is about 739.9349468014.

Adding to 405117140 its reverse (41711504), we get a palindrome (446828644).

The spelling of 405117140 in words is "four hundred five million, one hundred seventeen thousand, one hundred forty".