507456 has 42 divisors (see below), whose sum is σ = 1456182. Its totient is φ = 168960.

The previous prime is 507431. The next prime is 507461. The reversal of 507456 is 654705.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 147456 = 600^2 + 384^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

507456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (34671).

2⁵⁰⁷⁴⁵⁶ 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 507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728091).

507456 is an abundant number, since it is smaller than the sum of its proper divisors (948726).

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

507456 is a wasteful number, since it uses less digits than its factorization.

507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 507456 is about 712.3594598235. The cubic root of 507456 is about 79.7626297218.

The spelling of 507456 in words is "five hundred seven thousand, four hundred fifty-six".