506589440 has 216 divisors, whose sum is σ = 1453320792. Its totient is φ = 168591360.

The previous prime is 506589401. The next prime is 506589451. The reversal of 506589440 is 44985605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63234304 + 443355136 = 7952^2 + 21056^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2571422 + ... + 2571618.

It is an arithmetic number, because the mean of its divisors is an integer number (6728337).

Almost surely, 2^506589440 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 506589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726660396).

506589440 is an abundant number, since it is smaller than the sum of its proper divisors (946731352).

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

506589440 is a wasteful number, since it uses less digits than its factorization.

506589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 506589440 is about 22507.5418471232. The cubic root of 506589440 is about 797.1720149050.

The spelling of 506589440 in words is "five hundred six million, five hundred eighty-nine thousand, four hundred forty".