505033408 has 56 divisors (see below), whose sum is σ = 1120011984. Its totient is φ = 223948800.

The previous prime is 505033351. The next prime is 505033423. The reversal of 505033408 is 804330505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20116 + ... + 37612.

It is an arithmetic number, because the mean of its divisors is an integer number (20000214).

Almost surely, 2^505033408 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 505033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560005992).

505033408 is an abundant number, since it is smaller than the sum of its proper divisors (614978576).

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

505033408 is a wasteful number, since it uses less digits than its factorization.

505033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17561 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 505033408 is about 22472.9483601952. The cubic root of 505033408 is about 796.3549842146.

The spelling of 505033408 in words is "five hundred five million, thirty-three thousand, four hundred eight".