506742240 has 48 divisors (see below), whose sum is σ = 1596239568. Its totient is φ = 135131136.

The previous prime is 506742227. The next prime is 506742241. The reversal of 506742240 is 42247605.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 506742198 and 506742207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506742241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527377 + ... + 528336.

It is an arithmetic number, because the mean of its divisors is an integer number (33254991).

Almost surely, 2^506742240 is an apocalyptic number.

It is an amenable number.

506742240 is an abundant number, since it is smaller than the sum of its proper divisors (1089497328).

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

506742240 is a wasteful number, since it uses less digits than its factorization.

506742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055731 (or 1055723 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 506742240 is about 22510.9360089713. The cubic root of 506742240 is about 797.2521558301.

Adding to 506742240 its reverse (42247605), we get a palindrome (548989845).

The spelling of 506742240 in words is "five hundred six million, seven hundred forty-two thousand, two hundred forty".