464972513 has 8 divisors (see below), whose sum is σ = 480533256. Its totient is φ = 449612800.

The previous prime is 464972509. The next prime is 464972533. The reversal of 464972513 is 315279464.

464972513 = 15247² + 15248².

It can be written as a sum of positive squares in 4 ways, for example, as 81126049 + 383846464 = 9007^2 + 19592^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 464972513 - 2² = 464972509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464972533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45548 + ... + 54813.

It is an arithmetic number, because the mean of its divisors is an integer number (60066657).

Almost surely, 2^464972513 is an apocalyptic number.

464972513 is the 15248-th centered square number.

It is an amenable number.

464972513 is a deficient number, since it is larger than the sum of its proper divisors (15560743).

464972513 is a wasteful number, since it uses less digits than its factorization.

464972513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100515.

The product of its digits is 181440, while the sum is 41.

The square root of 464972513 is about 21563.2213038776. The cubic root of 464972513 is about 774.7158239418.

The spelling of 464972513 in words is "four hundred sixty-four million, nine hundred seventy-two thousand, five hundred thirteen".