507630144 has 224 divisors, whose sum is σ = 1639905280. Its totient is φ = 135364608.

The previous prime is 507630133. The next prime is 507630161. The reversal of 507630144 is 441036705.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2630112 + ... + 2630304.

Almost surely, 2^507630144 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 507630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819952640).

507630144 is an abundant number, since it is smaller than the sum of its proper divisors (1132275136).

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

507630144 is a wasteful number, since it uses less digits than its factorization.

507630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 507630144 is about 22530.6489919842. The cubic root of 507630144 is about 797.7175274252.

Adding to 507630144 its reverse (441036705), we get a palindrome (948666849).

The spelling of 507630144 in words is "five hundred seven million, six hundred thirty thousand, one hundred forty-four".