1027408356 has 144 divisors (see below), whose sum is σ = 2962814400. Its totient is φ = 297582336.

The previous prime is 1027408313. The next prime is 1027408373. The reversal of 1027408356 is 6538047201.

1027408356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1027408356.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2018230 + ... + 2018738.

It is an arithmetic number, because the mean of its divisors is an integer number (20575100).

Almost surely, 2^1027408356 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 1027408356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481407200).

1027408356 is an abundant number, since it is smaller than the sum of its proper divisors (1935406044).

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

1027408356 is a wasteful number, since it uses less digits than its factorization.

1027408356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1027408356 is about 32053.2113211765. The cubic root of 1027408356 is about 1009.0538982021.

The spelling of 1027408356 in words is "one billion, twenty-seven million, four hundred eight thousand, three hundred fifty-six".