460416801 has 16 divisors (see below), whose sum is σ = 662083520. Its totient is φ = 282916800.

The previous prime is 460416799. The next prime is 460416877. The reversal of 460416801 is 108614064.

It is not a de Polignac number, because 460416801 - 2¹ = 460416799 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (460416301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19326 + ... + 35976.

It is an arithmetic number, because the mean of its divisors is an integer number (41380220).

Almost surely, 2^460416801 is an apocalyptic number.

It is an amenable number.

460416801 is a deficient number, since it is larger than the sum of its proper divisors (201666719).

460416801 is a wasteful number, since it uses less digits than its factorization.

460416801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 460416801 is about 21457.3251128839. The cubic root of 460416801 is about 772.1773426553.

The spelling of 460416801 in words is "four hundred sixty million, four hundred sixteen thousand, eight hundred one".