507870272 has 224 divisors, whose sum is σ = 1338193920. Its totient is φ = 185794560.

The previous prime is 507870263. The next prime is 507870281. The reversal of 507870272 is 272078705.

It is an interprime number because it is at equal distance from previous prime (507870263) and next prime (507870281).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5235728 + ... + 5235824.

It is an arithmetic number, because the mean of its divisors is an integer number (5974080).

Almost surely, 2^507870272 is an apocalyptic number.

507870272 is a gapful number since it is divisible by the number (52) 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 507870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669096960).

507870272 is an abundant number, since it is smaller than the sum of its proper divisors (830323648).

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

507870272 is a wasteful number, since it uses less digits than its factorization.

507870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 38.

The square root of 507870272 is about 22535.9772807837. The cubic root of 507870272 is about 797.8432909826.

The spelling of 507870272 in words is "five hundred seven million, eight hundred seventy thousand, two hundred seventy-two".