505801824 has 96 divisors (see below), whose sum is σ = 1452971520. Its totient is φ = 152793600.

The previous prime is 505801823. The next prime is 505801853. The reversal of 505801824 is 428108505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505801823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486297 + ... + 487335.

It is an arithmetic number, because the mean of its divisors is an integer number (15135120).

Almost surely, 2^505801824 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 505801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

505801824 is an abundant number, since it is smaller than the sum of its proper divisors (947169696).

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

505801824 is a wasteful number, since it uses less digits than its factorization.

505801824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 505801824 is about 22490.0383281132. The cubic root of 505801824 is about 796.7586682807.

The spelling of 505801824 in words is "five hundred five million, eight hundred one thousand, eight hundred twenty-four".