505479744 has 448 divisors, whose sum is σ = 1931212800. Its totient is φ = 125798400.

The previous prime is 505479731. The next prime is 505479757. The reversal of 505479744 is 447974505.

505479744 is a `hidden beast` number, since 505 + 4 + 79 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (505479731) and next prime (505479757).

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 505479744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3858559 + ... + 3858689.

Almost surely, 2^505479744 is an apocalyptic number.

505479744 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 505479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965606400).

505479744 is an abundant number, since it is smaller than the sum of its proper divisors (1425733056).

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

505479744 is a wasteful number, since it uses less digits than its factorization.

505479744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 505479744 is about 22482.8766842680. The cubic root of 505479744 is about 796.5895147319.

It can be divided in two parts, 505 and 479744, that added together give a square (480249 = 693²).

The spelling of 505479744 in words is "five hundred five million, four hundred seventy-nine thousand, seven hundred forty-four".