507130416 has 160 divisors (see below), whose sum is σ = 1590384320. Its totient is φ = 153778176.

The previous prime is 507130391. The next prime is 507130441. The reversal of 507130416 is 614031705.

It is an interprime number because it is at equal distance from previous prime (507130391) and next prime (507130441).

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

It is a self number, because there is not a number n which added to its sum of digits gives 507130416.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 409350 + ... + 410586.

It is an arithmetic number, because the mean of its divisors is an integer number (9939902).

Almost surely, 2^507130416 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 507130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795192160).

507130416 is an abundant number, since it is smaller than the sum of its proper divisors (1083253904).

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

507130416 is a wasteful number, since it uses less digits than its factorization.

507130416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 507130416 is about 22519.5563011352. The cubic root of 507130416 is about 797.4556749243.

The spelling of 507130416 in words is "five hundred seven million, one hundred thirty thousand, four hundred sixteen".