506480640 has 96 divisors (see below), whose sum is σ = 1620440640. Its totient is φ = 135053312.

The previous prime is 506480627. The next prime is 506480641. The reversal of 506480640 is 46084605.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (506480641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22477 + ... + 38963.

It is an arithmetic number, because the mean of its divisors is an integer number (16879590).

Almost surely, 2^506480640 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 506480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810220320).

506480640 is an abundant number, since it is smaller than the sum of its proper divisors (1113960000).

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

506480640 is a wasteful number, since it uses less digits than its factorization.

506480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16517 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 506480640 is about 22505.1247497098. The cubic root of 506480640 is about 797.1149413866.

The spelling of 506480640 in words is "five hundred six million, four hundred eighty thousand, six hundred forty".