505127376 has 120 divisors (see below), whose sum is σ = 1541213856. Its totient is φ = 153504000.

The previous prime is 505127353. The next prime is 505127401. The reversal of 505127376 is 673721505.

505127376 is a `hidden beast` number, since 5 + 0 + 512 + 73 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505127376.

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, 153751 + ... + 157001.

Almost surely, 2^505127376 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 505127376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770606928).

505127376 is an abundant number, since it is smaller than the sum of its proper divisors (1036086480).

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

505127376 is a wasteful number, since it uses less digits than its factorization.

505127376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 505127376 is about 22475.0389543600. The cubic root of 505127376 is about 796.4043718678.

The spelling of 505127376 in words is "five hundred five million, one hundred twenty-seven thousand, three hundred seventy-six".