506480940 has 288 divisors, whose sum is σ = 1849236480. Its totient is φ = 109767168.

The previous prime is 506480921. The next prime is 506480971. The reversal of 506480940 is 49084605.

506480940 is a `hidden beast` number, since 5 + 0 + 648 + 0 + 9 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 506480895 and 506480904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3032737 + ... + 3032903.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^506480940 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 506480940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

506480940 is an abundant number, since it is smaller than the sum of its proper divisors (1342755540).

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

506480940 is a wasteful number, since it uses less digits than its factorization.

506480940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 506480940 is about 22505.1314148574. The cubic root of 506480940 is about 797.1150987697.

The spelling of 506480940 in words is "five hundred six million, four hundred eighty thousand, nine hundred forty".