505473024 has 288 divisors, whose sum is σ = 1658180160. Its totient is φ = 136249344.

The previous prime is 505472999. The next prime is 505473037. The reversal of 505473024 is 420374505.

It is a junction number, because it is equal to n+sod(n) for n = 505472982 and 505473000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6924252 + ... + 6924324.

It is an arithmetic number, because the mean of its divisors is an integer number (5757570).

Almost surely, 2^505473024 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 505473024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829090080).

505473024 is an abundant number, since it is smaller than the sum of its proper divisors (1152707136).

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

505473024 is a wasteful number, since it uses less digits than its factorization.

505473024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 505473024 is about 22482.7272367033. The cubic root of 505473024 is about 796.5859846826.

The spelling of 505473024 in words is "five hundred five million, four hundred seventy-three thousand, twenty-four".