506435472 has 60 divisors (see below), whose sum is σ = 1423294444. Its totient is φ = 168099840.

The previous prime is 506435441. The next prime is 506435477. The reversal of 506435472 is 274534605.

506435472 is a `hidden beast` number, since 5 + 0 + 643 + 5 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196112016 + 310323456 = 14004^2 + 17616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (506435477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27408 + ... + 42000.

Almost surely, 2^506435472 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 506435472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711647222).

506435472 is an abundant number, since it is smaller than the sum of its proper divisors (916858972).

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

506435472 is a wasteful number, since it uses less digits than its factorization.

506435472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14848 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 506435472 is about 22504.1212225672. The cubic root of 506435472 is about 797.0912450824.

The spelling of 506435472 in words is "five hundred six million, four hundred thirty-five thousand, four hundred seventy-two".