505541820 has 144 divisors (see below), whose sum is σ = 1654617888. Its totient is φ = 114992640.

The previous prime is 505541807. The next prime is 505541821. The reversal of 505541820 is 28145505.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505541821) 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, 1096390 + ... + 1096850.

It is an arithmetic number, because the mean of its divisors is an integer number (11490402).

Almost surely, 2^505541820 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 505541820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827308944).

505541820 is an abundant number, since it is smaller than the sum of its proper divisors (1149076068).

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

505541820 is a wasteful number, since it uses less digits than its factorization.

505541820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 505541820 is about 22484.2571591770. The cubic root of 505541820 is about 796.6221220832.

The spelling of 505541820 in words is "five hundred five million, five hundred forty-one thousand, eight hundred twenty".