506505948 has 48 divisors (see below), whose sum is σ = 1296794016. Its totient is φ = 152904960.

The previous prime is 506505947. The next prime is 506505949. The reversal of 506505948 is 849505605.

It is an interprime number because it is at equal distance from previous prime (506505947) and next prime (506505949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506505941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22363 + ... + 38898.

It is an arithmetic number, because the mean of its divisors is an integer number (27016542).

Almost surely, 2^506505948 is an apocalyptic number.

It is an amenable number.

506505948 is an abundant number, since it is smaller than the sum of its proper divisors (790288068).

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

506505948 is a wasteful number, since it uses less digits than its factorization.

506505948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61334 (or 61332 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 506505948 is about 22505.6870146192. The cubic root of 506505948 is about 797.1282180039.

The spelling of 506505948 in words is "five hundred six million, five hundred five thousand, nine hundred forty-eight".