467204824801 has 32 divisors (see below), whose sum is σ = 582366129408. Its totient is φ = 368239011840.

The previous prime is 467204824781. The next prime is 467204824813. The reversal of 467204824801 is 108428402764.

It is a 3-Lehmer number, since φ(467204824801) divides (467204824801-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 467204824801 - 2¹¹ = 467204822753 is a prime.

It is a deceptive number, since it divides R_467204824800.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (467204824831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986581 + ... + 1381213.

It is an arithmetic number, because the mean of its divisors is an integer number (18198941544).

It is a Poulet number, since it divides 2^467204824800-1.

Almost surely, 2^467204824801 is an apocalyptic number.

467204824801 is the 394633-rd octagonal number.

It is an amenable number.

467204824801 is a deficient number, since it is larger than the sum of its proper divisors (115161304607).

467204824801 is a wasteful number, since it uses less digits than its factorization.

467204824801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395161.

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 467204824801 in words is "four hundred sixty-seven billion, two hundred four million, eight hundred twenty-four thousand, eight hundred one".