506435880 has 128 divisors (see below), whose sum is σ = 1610956800. Its totient is φ = 127008000.

The previous prime is 506435843. The next prime is 506435887. The reversal of 506435880 is 88534605.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (506435887) 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, 343545 + ... + 345015.

It is an arithmetic number, because the mean of its divisors is an integer number (12585600).

Almost surely, 2^506435880 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 506435880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805478400).

506435880 is an abundant number, since it is smaller than the sum of its proper divisors (1104520920).

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

506435880 is a wasteful number, since it uses less digits than its factorization.

506435880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 506435880 is about 22504.1302875717. The cubic root of 506435880 is about 797.0914591361.

The spelling of 506435880 in words is "five hundred six million, four hundred thirty-five thousand, eight hundred eighty".