506451312 has 80 divisors (see below), whose sum is σ = 1457858080. Its totient is φ = 168334848.

The previous prime is 506451299. The next prime is 506451313. The reversal of 506451312 is 213154605.

506451312 is a `hidden beast` number, since 5 + 0 + 645 + 1 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506451313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170028 + ... + 172980.

It is an arithmetic number, because the mean of its divisors is an integer number (18223226).

Almost surely, 2^506451312 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 506451312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728929040).

506451312 is an abundant number, since it is smaller than the sum of its proper divisors (951406768).

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

506451312 is a wasteful number, since it uses less digits than its factorization.

506451312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 506451312 is about 22504.4731553529. The cubic root of 506451312 is about 797.0995553176.

The spelling of 506451312 in words is "five hundred six million, four hundred fifty-one thousand, three hundred twelve".