506552460 has 96 divisors (see below), whose sum is σ = 1484904960. Its totient is φ = 128781312.

The previous prime is 506552441. The next prime is 506552467. The reversal of 506552460 is 64255605.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (506552467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818031 + ... + 818649.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760).

Almost surely, 2^506552460 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 506552460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

506552460 is an abundant number, since it is smaller than the sum of its proper divisors (978352500).

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

506552460 is a wasteful number, since it uses less digits than its factorization.

506552460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 506552460 is about 22506.7203297149. The cubic root of 506552460 is about 797.1526171204.

The spelling of 506552460 in words is "five hundred six million, five hundred fifty-two thousand, four hundred sixty".