506920960 has 272 divisors, whose sum is σ = 1585434816. Its totient is φ = 150994944.

The previous prime is 506920891. The next prime is 506920993. The reversal of 506920960 is 69029605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (272).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29818872 + ... + 29818888.

Almost surely, 2^506920960 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 506920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792717408).

506920960 is an abundant number, since it is smaller than the sum of its proper divisors (1078513856).

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

506920960 is an equidigital number, since it uses as much as digits as its factorization.

506920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 506920960 is about 22514.9052851661. The cubic root of 506920960 is about 797.3458709030.

The spelling of 506920960 in words is "five hundred six million, nine hundred twenty thousand, nine hundred sixty".