505691424 has 240 divisors, whose sum is σ = 1738775808. Its totient is φ = 141170688.

The previous prime is 505691413. The next prime is 505691429. The reversal of 505691424 is 424196505.

505691424 is a `hidden beast` number, since 50 + 569 + 1 + 42 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (505691429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 852472 + ... + 853064.

Almost surely, 2^505691424 is an apocalyptic number.

505691424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505691424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869387904).

505691424 is an abundant number, since it is smaller than the sum of its proper divisors (1233084384).

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

505691424 is a wasteful number, since it uses less digits than its factorization.

505691424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 505691424 is about 22487.5837741630. The cubic root of 505691424 is about 796.7006952741.

The spelling of 505691424 in words is "five hundred five million, six hundred ninety-one thousand, four hundred twenty-four".