505004040 has 384 divisors, whose sum is σ = 1890345600. Its totient is φ = 116121600.

The previous prime is 505004039. The next prime is 505004063. The reversal of 505004040 is 40400505.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4999990 + ... + 5000090.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2^505004040 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 505004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945172800).

505004040 is an abundant number, since it is smaller than the sum of its proper divisors (1385341560).

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

505004040 is a wasteful number, since it uses less digits than its factorization.

505004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 505004040 is about 22472.2949428847. The cubic root of 505004040 is about 796.3395477397.

Adding to 505004040 its reverse (40400505), we get a palindrome (545404545).

The spelling of 505004040 in words is "five hundred five million, four thousand, forty".