506555040 has 96 divisors (see below), whose sum is σ = 1603022400. Its totient is φ = 134457344.

The previous prime is 506555017. The next prime is 506555057. The reversal of 506555040 is 40555605.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 506554989 and 506555007.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106636 + ... + 111284.

It is an arithmetic number, because the mean of its divisors is an integer number (16698150).

Almost surely, 2^506555040 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 506555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801511200).

506555040 is an abundant number, since it is smaller than the sum of its proper divisors (1096467360).

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

506555040 is a wasteful number, since it uses less digits than its factorization.

506555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 506555040 is about 22506.7776458559. Note that the first 3 decimals coincide. The cubic root of 506555040 is about 797.1539704848.

The spelling of 506555040 in words is "five hundred six million, five hundred fifty-five thousand, forty".