505462752 has 72 divisors (see below), whose sum is σ = 1439998560. Its totient is φ = 168184320.

The previous prime is 505462747. The next prime is 505462759. The reversal of 505462752 is 257264505.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505462759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205852 + ... + 208292.

It is an arithmetic number, because the mean of its divisors is an integer number (19999980).

Almost surely, 2^505462752 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 505462752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719999280).

505462752 is an abundant number, since it is smaller than the sum of its proper divisors (934535808).

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

505462752 is a wasteful number, since it uses less digits than its factorization.

505462752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 505462752 is about 22482.4987935060. The cubic root of 505462752 is about 796.5805886897.

The spelling of 505462752 in words is "five hundred five million, four hundred sixty-two thousand, seven hundred fifty-two".