505431840420 has 288 divisors, whose sum is σ = 1675130865408. Its totient is φ = 122613636096.

The previous prime is 505431840413. The next prime is 505431840443. The reversal of 505431840420 is 24048134505.

It is a happy number.

505431840420 is a `hidden beast` number, since 5 + 0 + 54 + 3 + 184 + 0 + 420 = 666.

It is a super-2 number, since 2×505431840420² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 49319737 + ... + 49329983.

It is an arithmetic number, because the mean of its divisors is an integer number (5816426616).

Almost surely, 2^505431840420 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 505431840420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837565432704).

505431840420 is an abundant number, since it is smaller than the sum of its proper divisors (1169699024988).

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

505431840420 is a wasteful number, since it uses less digits than its factorization.

505431840420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 505431840420 its reverse (24048134505), we get a palindrome (529479974925).

The spelling of 505431840420 in words is "five hundred five billion, four hundred thirty-one million, eight hundred forty thousand, four hundred twenty".