506479488 has 128 divisors (see below), whose sum is σ = 1402736640. Its totient is φ = 161740800.

The previous prime is 506479469. The next prime is 506479553. The reversal of 506479488 is 884974605.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 506479488.

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, 1868793 + ... + 1869063.

It is an arithmetic number, because the mean of its divisors is an integer number (10958880).

Almost surely, 2^506479488 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 506479488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701368320).

506479488 is an abundant number, since it is smaller than the sum of its proper divisors (896257152).

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

506479488 is a wasteful number, since it uses less digits than its factorization.

506479488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 506479488 is about 22505.0991555247. The cubic root of 506479488 is about 797.1143370350.

The spelling of 506479488 in words is "five hundred six million, four hundred seventy-nine thousand, four hundred eighty-eight".