505346016 has 192 divisors, whose sum is σ = 1572480000. Its totient is φ = 142023168.

The previous prime is 505345999. The next prime is 505346053. The reversal of 505346016 is 610643505.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3391510 + ... + 3391658.

It is an arithmetic number, because the mean of its divisors is an integer number (8190000).

Almost surely, 2^505346016 is an apocalyptic number.

505346016 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 505346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).

505346016 is an abundant number, since it is smaller than the sum of its proper divisors (1067133984).

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

505346016 is a wasteful number, since it uses less digits than its factorization.

505346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

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

The square root of 505346016 is about 22479.9024908917. The cubic root of 505346016 is about 796.5192608663.

The spelling of 505346016 in words is "five hundred five million, three hundred forty-six thousand, sixteen".