405141020 has 48 divisors (see below), whose sum is σ = 882433440. Its totient is φ = 156059904.

The previous prime is 405141017. The next prime is 405141029. The reversal of 405141020 is 20141504.

It is a self number, because there is not a number n which added to its sum of digits gives 405141020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405141029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316622 + ... + 317898.

It is an arithmetic number, because the mean of its divisors is an integer number (18384030).

Almost surely, 2^405141020 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 405141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441216720).

405141020 is an abundant number, since it is smaller than the sum of its proper divisors (477292420).

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

405141020 is a wasteful number, since it uses less digits than its factorization.

405141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 405141020 is about 20128.1151626276. The cubic root of 405141020 is about 739.9494852296.

Adding to 405141020 its reverse (20141504), we get a palindrome (425282524).

The spelling of 405141020 in words is "four hundred five million, one hundred forty-one thousand, twenty".