842432400 has 300 divisors, whose sum is σ = 3064236912. Its totient is φ = 222549120.

The previous prime is 842432389. The next prime is 842432401. The reversal of 842432400 is 4234248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (842432401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7873147 + ... + 7873253.

Almost surely, 2^842432400 is an apocalyptic number.

842432400 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 842432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532118456).

842432400 is an abundant number, since it is smaller than the sum of its proper divisors (2221804512).

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

842432400 is an equidigital number, since it uses as much as digits as its factorization.

842432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 842432400 is about 29024.6860448136. The cubic root of 842432400 is about 944.4486579845.

Adding to 842432400 its reverse (4234248), we get a palindrome (846666648).

The spelling of 842432400 in words is "eight hundred forty-two million, four hundred thirty-two thousand, four hundred".