842464000 has 144 divisors (see below), whose sum is σ = 2399132736. Its totient is φ = 288768000.

The previous prime is 842463959. The next prime is 842464001. The reversal of 842464000 is 464248.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 842464000.

It is not an unprimeable number, because it can be changed into a prime (842464001) 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, 222120 + ... + 225880.

It is an arithmetic number, because the mean of its divisors is an integer number (16660644).

Almost surely, 2^842464000 is an apocalyptic number.

842464000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199566368).

842464000 is an abundant number, since it is smaller than the sum of its proper divisors (1556668736).

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

842464000 is an equidigital number, since it uses as much as digits as its factorization.

842464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 842464000 is about 29025.2304039089. The cubic root of 842464000 is about 944.4604667281.

The spelling of 842464000 in words is "eight hundred forty-two million, four hundred sixty-four thousand".