462400513 has 4 divisors (see below), whose sum is σ = 463285168. Its totient is φ = 461515860.

The previous prime is 462400489. The next prime is 462400529. The reversal of 462400513 is 315004264.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 462400513 - 2⁵ = 462400481 is a prime.

It is the 21504-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (462400573) by changing a digit.

It is a nontrivial repunit in base 21503.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 441543 + ... + 442588.

It is an arithmetic number, because the mean of its divisors is an integer number (115821292).

Almost surely, 2^462400513 is an apocalyptic number.

It is an amenable number.

462400513 is a deficient number, since it is larger than the sum of its proper divisors (884655).

462400513 is an equidigital number, since it uses as much as digits as its factorization.

462400513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884654.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 462400513 is about 21503.5000174390. The cubic root of 462400513 is about 773.2847326068.

Adding to 462400513 its reverse (315004264), we get a palindrome (777404777).

The spelling of 462400513 in words is "four hundred sixty-two million, four hundred thousand, five hundred thirteen".