505616430 has 64 divisors (see below), whose sum is σ = 1346284800. Its totient is φ = 120491520.

The previous prime is 505616407. The next prime is 505616437. The reversal of 505616430 is 34616505.

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 (505616437) by changing a digit.

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, 6486 + ... + 32454.

It is an arithmetic number, because the mean of its divisors is an integer number (21035700).

Almost surely, 2^505616430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505616430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673142400).

505616430 is an abundant number, since it is smaller than the sum of its proper divisors (840668370).

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

505616430 is a wasteful number, since it uses less digits than its factorization.

505616430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26049.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 505616430 is about 22485.9162588497. The cubic root of 505616430 is about 796.6613097761.

The spelling of 505616430 in words is "five hundred five million, six hundred sixteen thousand, four hundred thirty".