508457401 has 3 divisors (see below), whose sum is σ = 508479951. Its totient is φ = 508434852.

The previous prime is 508457393. The next prime is 508457407. The reversal of 508457401 is 104754805.

The square root of 508457401 is 22549.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 504047401 + 4410000 = 22451^2 + 2100^2 .

It is not a de Polignac number, because 508457401 - 2³ = 508457393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (508457407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11275 + ... + 33823.

It is an arithmetic number, because the mean of its divisors is an integer number (169493317).

Almost surely, 2^508457401 is an apocalyptic number.

508457401 is the 22549-th square number.

508457401 is the 11275-th centered octagonal number.

It is an amenable number.

508457401 is a deficient number, since it is larger than the sum of its proper divisors (22550).

508457401 is an frugal number, since it uses more digits than its factorization.

508457401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45098 (or 22549 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The cubic root of 508457401 is about 798.1506244110.

The spelling of 508457401 in words is "five hundred eight million, four hundred fifty-seven thousand, four hundred one".