507142080 has 224 divisors, whose sum is σ = 1814169600. Its totient is φ = 133346304.

The previous prime is 507142067. The next prime is 507142081. The reversal of 507142080 is 80241705.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507142081) 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, 682189 + ... + 682931.

Almost surely, 2^507142080 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 507142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

507142080 is an abundant number, since it is smaller than the sum of its proper divisors (1307027520).

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

507142080 is a wasteful number, since it uses less digits than its factorization.

507142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 507142080 is about 22519.8152745532. The cubic root of 507142080 is about 797.4617887045.

Adding to 507142080 its reverse (80241705), we get a palindrome (587383785).

The spelling of 507142080 in words is "five hundred seven million, one hundred forty-two thousand, eighty".