505354080 has 384 divisors, whose sum is σ = 2018774016. Its totient is φ = 104079360.

The previous prime is 505354061. The next prime is 505354081. The reversal of 505354080 is 80453505.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505354081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4472104 + ... + 4472216.

It is an arithmetic number, because the mean of its divisors is an integer number (5257224).

Almost surely, 2^505354080 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 505354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009387008).

505354080 is an abundant number, since it is smaller than the sum of its proper divisors (1513419936).

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

505354080 is a wasteful number, since it uses less digits than its factorization.

505354080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 505354080 is about 22480.0818503848. The cubic root of 505354080 is about 796.5234976314.

It can be divided in two parts, 50535 and 4080, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 505354080 in words is "five hundred five million, three hundred fifty-four thousand, eighty".