506903040 has 360 divisors, whose sum is σ = 2046716100. Its totient is φ = 115605504.

The previous prime is 506903011. The next prime is 506903051. The reversal of 506903040 is 40309605.

It is a happy number.

506903040 is a `hidden beast` number, since 506 + 90 + 30 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 506790144 + 112896 = 22512^2 + 336^2 .

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

It is a super-2 number, since 2×506903040² = 513901383922483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506902995 and 506903013.

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 35 ways as a sum of consecutive naturals, for example, 1128736 + ... + 1129184.

Almost surely, 2^506903040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023358050).

506903040 is an abundant number, since it is smaller than the sum of its proper divisors (1539813060).

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

506903040 is a wasteful number, since it uses less digits than its factorization.

506903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 506903040 is about 22514.5073230573. The cubic root of 506903040 is about 797.3364752197.

The spelling of 506903040 in words is "five hundred six million, nine hundred three thousand, forty".