842145408 has 192 divisors, whose sum is σ = 2661520680. Its totient is φ = 253992960.

The previous prime is 842145401. The next prime is 842145427. The reversal of 842145408 is 804541248.

It can be written as a sum of positive squares in 4 ways, for example, as 718668864 + 123476544 = 26808^2 + 11112^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (842145401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 793198 + ... + 794258.

Almost surely, 2^842145408 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 842145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330760340).

842145408 is an abundant number, since it is smaller than the sum of its proper divisors (1819375272).

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

842145408 is a wasteful number, since it uses less digits than its factorization.

842145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 842145408 is about 29019.7416942329. The cubic root of 842145408 is about 944.3413971548.

The spelling of 842145408 in words is "eight hundred forty-two million, one hundred forty-five thousand, four hundred eight".