506465190 has 256 divisors, whose sum is σ = 1784125440. Its totient is φ = 98979840.

The previous prime is 506465189. The next prime is 506465231. The reversal of 506465190 is 91564605.

506465190 is a `hidden beast` number, since 5 + 0 + 6 + 465 + 190 = 666.

It is a super-2 number, since 2×506465190² = 513013977363472200, which contains 22 as substring.

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 352714 + ... + 354146.

It is an arithmetic number, because the mean of its divisors is an integer number (6969240).

Almost surely, 2^506465190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506465190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892062720).

506465190 is an abundant number, since it is smaller than the sum of its proper divisors (1277660250).

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

506465190 is a wasteful number, since it uses less digits than its factorization.

506465190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 506465190 is about 22504.7814919408. The cubic root of 506465190 is about 797.1068360744.

The spelling of 506465190 in words is "five hundred six million, four hundred sixty-five thousand, one hundred ninety".