506907450 has 288 divisors, whose sum is σ = 1662393600. Its totient is φ = 113218560.

The previous prime is 506907433. The next prime is 506907451. The reversal of 506907450 is 54709605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506907451) 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 143 ways as a sum of consecutive naturals, for example, 5225802 + ... + 5225898.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^506907450 is an apocalyptic number.

506907450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506907450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831196800).

506907450 is an abundant number, since it is smaller than the sum of its proper divisors (1155486150).

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

506907450 is a wasteful number, since it uses less digits than its factorization.

506907450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 506907450 is about 22514.6052596975. The cubic root of 506907450 is about 797.3387874592.

The spelling of 506907450 in words is "five hundred six million, nine hundred seven thousand, four hundred fifty".