506462880 has 384 divisors, whose sum is σ = 2027483136. Its totient is φ = 103219200.

The previous prime is 506462843. The next prime is 506462897. The reversal of 506462880 is 88264605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2624064 + ... + 2624256.

It is an arithmetic number, because the mean of its divisors is an integer number (5279904).

Almost surely, 2^506462880 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 506462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013741568).

506462880 is an abundant number, since it is smaller than the sum of its proper divisors (1521020256).

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

506462880 is a wasteful number, since it uses less digits than its factorization.

506462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 506462880 is about 22504.7301694555. The cubic root of 506462880 is about 797.1056241981.

The spelling of 506462880 in words is "five hundred six million, four hundred sixty-two thousand, eight hundred eighty".