862448620400 has 120 divisors (see below), whose sum is σ = 2144846597520. Its totient is φ = 332871598080.

The previous prime is 862448620349. The next prime is 862448620403. The reversal of 862448620400 is 4026844268.

862448620400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×862448620400⁵ (a number of 61 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862448620403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18850352 + ... + 18896048.

It is an arithmetic number, because the mean of its divisors is an integer number (17873721646).

Almost surely, 2^862448620400 is an apocalyptic number.

862448620400 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 862448620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072423298760).

862448620400 is an abundant number, since it is smaller than the sum of its proper divisors (1282397977120).

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

862448620400 is a wasteful number, since it uses less digits than its factorization.

862448620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47371 (or 47360 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 862448620400 in words is "eight hundred sixty-two billion, four hundred forty-eight million, six hundred twenty thousand, four hundred".