506457336 has 320 divisors, whose sum is σ = 1742446080. Its totient is φ = 121175040.

The previous prime is 506457317. The next prime is 506457337. The reversal of 506457336 is 633754605.

It is a junction number, because it is equal to n+sod(n) for n = 506457294 and 506457303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506457337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10775665 + ... + 10775711.

It is an arithmetic number, because the mean of its divisors is an integer number (5445144).

Almost surely, 2^506457336 is an apocalyptic number.

506457336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506457336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871223040).

506457336 is an abundant number, since it is smaller than the sum of its proper divisors (1235988744).

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

506457336 is a wasteful number, since it uses less digits than its factorization.

506457336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 506457336 is about 22504.6069950133. The cubic root of 506457336 is about 797.1027156797.

The spelling of 506457336 in words is "five hundred six million, four hundred fifty-seven thousand, three hundred thirty-six".