507380224 has 80 divisors (see below), whose sum is σ = 1127427840. Its totient is φ = 226529280.

The previous prime is 507380221. The next prime is 507380227. The reversal of 507380224 is 422083705.

It is an interprime number because it is at equal distance from previous prime (507380221) and next prime (507380227).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (507380221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205107 + ... + 207565.

It is an arithmetic number, because the mean of its divisors is an integer number (14092848).

Almost surely, 2^507380224 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 507380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563713920).

507380224 is an abundant number, since it is smaller than the sum of its proper divisors (620047616).

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

507380224 is a wasteful number, since it uses less digits than its factorization.

507380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 507380224 is about 22525.1020863391. The cubic root of 507380224 is about 797.5865933233.

The spelling of 507380224 in words is "five hundred seven million, three hundred eighty thousand, two hundred twenty-four".