507360 has 96 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 115200.

The previous prime is 507359. The next prime is 507361. The reversal of 507360 is 63705.

It is an interprime number because it is at equal distance from previous prime (507359) and next prime (507361).

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507361) 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, 3285 + ... + 3435.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2⁵⁰⁷³⁶⁰ 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 507360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

507360 is an abundant number, since it is smaller than the sum of its proper divisors (1331232).

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

507360 is a wasteful number, since it uses less digits than its factorization.

507360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 507360 is about 712.2920749243. The cubic root of 507360 is about 79.7575996007.

The spelling of 507360 in words is "five hundred seven thousand, three hundred sixty".