507220320 has 96 divisors (see below), whose sum is σ = 1602592992. Its totient is φ = 134848512.

The previous prime is 507220319. The next prime is 507220327. The reversal of 507220320 is 23022705.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507220327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177624 + ... + 180456.

It is an arithmetic number, because the mean of its divisors is an integer number (16693677).

Almost surely, 2^507220320 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 507220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801296496).

507220320 is an abundant number, since it is smaller than the sum of its proper divisors (1095372672).

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

507220320 is a wasteful number, since it uses less digits than its factorization.

507220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 507220320 is about 22521.5523443656. The cubic root of 507220320 is about 797.5027964119.

The spelling of 507220320 in words is "five hundred seven million, two hundred twenty thousand, three hundred twenty".