405018960 has 160 divisors (see below), whose sum is σ = 1319915520. Its totient is φ = 102541824.

The previous prime is 405018949. The next prime is 405018961. The reversal of 405018960 is 69810504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405018961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319127 + ... + 1319433.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^405018960 is an apocalyptic number.

405018960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

405018960 is an abundant number, since it is smaller than the sum of its proper divisors (914896560).

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

405018960 is a wasteful number, since it uses less digits than its factorization.

405018960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 405018960 is about 20125.0828569723. The cubic root of 405018960 is about 739.8751676451.

The spelling of 405018960 in words is "four hundred five million, eighteen thousand, nine hundred sixty".