505598016 has 168 divisors, whose sum is σ = 1680992320. Its totient is φ = 131281920.

The previous prime is 505597991. The next prime is 505598059. The reversal of 505598016 is 610895505.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161070 + ... + 164178.

Almost surely, 2^505598016 is an apocalyptic number.

505598016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505598016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840496160).

505598016 is an abundant number, since it is smaller than the sum of its proper divisors (1175394304).

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

505598016 is a wasteful number, since it uses less digits than its factorization.

505598016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 505598016 is about 22485.5067988249. The cubic root of 505598016 is about 796.6516384795.

The spelling of 505598016 in words is "five hundred five million, five hundred ninety-eight thousand, sixteen".