506073600 has 360 divisors, whose sum is σ = 1899735552. Its totient is φ = 128409600.

The previous prime is 506073539. The next prime is 506073611. The reversal of 506073600 is 6370605.

506073600 is a `hidden beast` number, since 50 + 6 + 0 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×506073600² = 512220977233920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2649505 + ... + 2649695.

Almost surely, 2^506073600 is an apocalyptic number.

506073600 is a gapful number since it is divisible by the number (50) 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 506073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949867776).

506073600 is an abundant number, since it is smaller than the sum of its proper divisors (1393661952).

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

506073600 is a wasteful number, since it uses less digits than its factorization.

506073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 506073600 is about 22496.0796584649. The cubic root of 506073600 is about 796.9013467644.

The spelling of 506073600 in words is "five hundred six million, seventy-three thousand, six hundred".