463024401 has 64 divisors (see below), whose sum is σ = 765788160. Its totient is φ = 243233280.

The previous prime is 463024399. The next prime is 463024409. The reversal of 463024401 is 104420364.

It is not a de Polignac number, because 463024401 - 2¹ = 463024399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (463024409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1131885 + ... + 1132293.

It is an arithmetic number, because the mean of its divisors is an integer number (11965440).

Almost surely, 2^463024401 is an apocalyptic number.

It is an amenable number.

463024401 is a deficient number, since it is larger than the sum of its proper divisors (302763759).

463024401 is a wasteful number, since it uses less digits than its factorization.

463024401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 463024401 is about 21518.0017891997. The cubic root of 463024401 is about 773.6323578346.

Adding to 463024401 its reverse (104420364), we get a palindrome (567444765).

The spelling of 463024401 in words is "four hundred sixty-three million, twenty-four thousand, four hundred one".