460696819 has 16 divisors (see below), whose sum is σ = 533738880. Its totient is φ = 393240960.

The previous prime is 460696807. The next prime is 460696823. The reversal of 460696819 is 918696064.

It is a cyclic number.

It is not a de Polignac number, because 460696819 - 2¹⁵ = 460664051 is a prime.

It is a super-3 number, since 3×460696819³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (460696849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13864 + ... + 33370.

It is an arithmetic number, because the mean of its divisors is an integer number (33358680).

Almost surely, 2^460696819 is an apocalyptic number.

460696819 is a deficient number, since it is larger than the sum of its proper divisors (73042061).

460696819 is a wasteful number, since it uses less digits than its factorization.

460696819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650.

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 460696819 is about 21463.8491189255. The cubic root of 460696819 is about 772.3338528253. Note that the first 3 decimals are identical.

The spelling of 460696819 in words is "four hundred sixty million, six hundred ninety-six thousand, eight hundred nineteen".