507300480 has 192 divisors, whose sum is σ = 1812774600. Its totient is φ = 130572288.

The previous prime is 507300473. The next prime is 507300481. The reversal of 507300480 is 84003705.

It can be written as a sum of positive squares in 4 ways, for example, as 473845824 + 33454656 = 21768^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507300481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165522 + ... + 168558.

Almost surely, 2^507300480 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 507300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906387300).

507300480 is an abundant number, since it is smaller than the sum of its proper divisors (1305474120).

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

507300480 is a wasteful number, since it uses less digits than its factorization.

507300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 507300480 is about 22523.3319027181. The cubic root of 507300480 is about 797.5448060700.

The spelling of 507300480 in words is "five hundred seven million, three hundred thousand, four hundred eighty".