505356384 has 96 divisors (see below), whose sum is σ = 1434343680. Its totient is φ = 154870272.

The previous prime is 505356377. The next prime is 505356409. The reversal of 505356384 is 483653505.

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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382477 + ... + 383795.

It is an arithmetic number, because the mean of its divisors is an integer number (14941080).

Almost surely, 2^505356384 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 505356384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717171840).

505356384 is an abundant number, since it is smaller than the sum of its proper divisors (928987296).

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

505356384 is a wasteful number, since it uses less digits than its factorization.

505356384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 505356384 is about 22480.1330956914. The cubic root of 505356384 is about 796.5247081275.

The spelling of 505356384 in words is "five hundred five million, three hundred fifty-six thousand, three hundred eighty-four".