506096730 has 144 divisors (see below), whose sum is σ = 1429673544. Its totient is φ = 124104960.

The previous prime is 506096729. The next prime is 506096771. The reversal of 506096730 is 37690605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 347412321 + 158684409 = 18639^2 + 12597^2 .

It is a super-2 number, since 2×506096730² = 512267800233385800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1201920 + ... + 1202340.

Almost surely, 2^506096730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506096730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714836772).

506096730 is an abundant number, since it is smaller than the sum of its proper divisors (923576814).

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

506096730 is a wasteful number, since it uses less digits than its factorization.

506096730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 506096730 is about 22496.5937421646. The cubic root of 506096730 is about 796.9134873222.

The spelling of 506096730 in words is "five hundred six million, ninety-six thousand, seven hundred thirty".