505214976 has 192 divisors, whose sum is σ = 1632234240. Its totient is φ = 135659520.

The previous prime is 505214947. The next prime is 505214981. The reversal of 505214976 is 679412505.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730791 + ... + 731481.

It is an arithmetic number, because the mean of its divisors is an integer number (8501220).

Almost surely, 2^505214976 is an apocalyptic number.

505214976 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 505214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816117120).

505214976 is an abundant number, since it is smaller than the sum of its proper divisors (1127019264).

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

505214976 is a wasteful number, since it uses less digits than its factorization.

505214976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 505214976 is about 22476.9876985329. The cubic root of 505214976 is about 796.4504071148.

The spelling of 505214976 in words is "five hundred five million, two hundred fourteen thousand, nine hundred seventy-six".