507030000 has 100 divisors (see below), whose sum is σ = 1636857288. Its totient is φ = 135200000.

The previous prime is 507029993. The next prime is 507030001. The reversal of 507030000 is 30705.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507030001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21550 + ... + 38450.

Almost surely, 2^507030000 is an apocalyptic number.

507030000 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 507030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818428644).

507030000 is an abundant number, since it is smaller than the sum of its proper divisors (1129827288).

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

507030000 is a wasteful number, since it uses less digits than its factorization.

507030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 507030000 is about 22517.3266619286. The cubic root of 507030000 is about 797.4030371856.

Adding to 507030000 its reverse (30705), we get a palindrome (507060705).

The spelling of 507030000 in words is "five hundred seven million, thirty thousand".