506894080 has 288 divisors, whose sum is σ = 1565867520. Its totient is φ = 152616960.

The previous prime is 506894077. The next prime is 506894093. The reversal of 506894080 is 80498605.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646651 + ... + 3646789.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^506894080 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 506894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782933760).

506894080 is an abundant number, since it is smaller than the sum of its proper divisors (1058973440).

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

506894080 is a wasteful number, since it uses less digits than its factorization.

506894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 506894080 is about 22514.3083393650. The cubic root of 506894080 is about 797.3317772950.

The spelling of 506894080 in words is "five hundred six million, eight hundred ninety-four thousand, eighty".