506007040 has 320 divisors, whose sum is σ = 1612182528. Its totient is φ = 147456000.

The previous prime is 506007013. The next prime is 506007041. The reversal of 506007040 is 40700605.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506007041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3350965 + ... + 3351115.

Almost surely, 2^506007040 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 506007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806091264).

506007040 is an abundant number, since it is smaller than the sum of its proper divisors (1106175488).

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

506007040 is a wasteful number, since it uses less digits than its factorization.

506007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 506007040 is about 22494.6002409467. The cubic root of 506007040 is about 796.8664084477.

Adding to 506007040 its reverse (40700605), we get a palindrome (546707645).

The spelling of 506007040 in words is "five hundred six million, seven thousand, forty".