505267968 has 72 divisors (see below), whose sum is σ = 1349759488. Its totient is φ = 167795712.

The previous prime is 505267951. The next prime is 505267991. The reversal of 505267968 is 869762505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 234705 + ... + 236847.

Almost surely, 2^505267968 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 505267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674879744).

505267968 is an abundant number, since it is smaller than the sum of its proper divisors (844491520).

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

505267968 is a wasteful number, since it uses less digits than its factorization.

505267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 505267968 is about 22478.1664732691. The cubic root of 505267968 is about 796.4782527029.

The spelling of 505267968 in words is "five hundred five million, two hundred sixty-seven thousand, nine hundred sixty-eight".