801468 has 48 divisors (see below), whose sum is σ = 2140320. Its totient is φ = 259200.

The previous prime is 801461. The next prime is 801469. The reversal of 801468 is 864108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801468.

It is not an unprimeable number, because it can be changed into a prime (801461) by changing a digit.

801468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4338 + ... + 4518.

It is an arithmetic number, because the mean of its divisors is an integer number (44590).

2⁸⁰¹⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070160).

801468 is an abundant number, since it is smaller than the sum of its proper divisors (1338852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

801468 is a wasteful number, since it uses less digits than its factorization.

801468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 801468 is about 895.2474518255. The cubic root of 801468 is about 92.8885240793. Note that the first 3 decimals are identical.

The spelling of 801468 in words is "eight hundred one thousand, four hundred sixty-eight".