460696401 has 48 divisors (see below), whose sum is σ = 767931840. Its totient is φ = 263208960.

The previous prime is 460696399. The next prime is 460696427. The reversal of 460696401 is 104696064.

460696401 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 9 + 640 + 1 = 666.

It is not a de Polignac number, because 460696401 - 2¹ = 460696399 is a prime.

It is a super-3 number, since 3×460696401³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (460696441) 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 47 ways as a sum of consecutive naturals, for example, 482941 + ... + 483893.

It is an arithmetic number, because the mean of its divisors is an integer number (15998580).

Almost surely, 2^460696401 is an apocalyptic number.

It is an amenable number.

460696401 is a deficient number, since it is larger than the sum of its proper divisors (307235439).

460696401 is a wasteful number, since it uses less digits than its factorization.

460696401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 460696401 is about 21463.8393816204. The cubic root of 460696401 is about 772.3336192403. Note that the first 3 decimals are identical.

The spelling of 460696401 in words is "four hundred sixty million, six hundred ninety-six thousand, four hundred one".