505057620 has 96 divisors (see below), whose sum is σ = 1540022400. Its totient is φ = 123185664.

The previous prime is 505057589. The next prime is 505057643. The reversal of 505057620 is 26750505.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25422 + ... + 40698.

It is an arithmetic number, because the mean of its divisors is an integer number (16041900).

Almost surely, 2^505057620 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 505057620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770011200).

505057620 is an abundant number, since it is smaller than the sum of its proper divisors (1034964780).

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

505057620 is a wasteful number, since it uses less digits than its factorization.

505057620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337 (or 15335 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 505057620 is about 22473.4870458503. The cubic root of 505057620 is about 796.3677101310.

The spelling of 505057620 in words is "five hundred five million, fifty-seven thousand, six hundred twenty".