1139205408 has 96 divisors (see below), whose sum is σ = 3271145472. Its totient is φ = 344275200.

The previous prime is 1139205383. The next prime is 1139205409. The reversal of 1139205408 is 8045029311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1139205409) 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, 453885 + ... + 456387.

It is an arithmetic number, because the mean of its divisors is an integer number (34074432).

Almost surely, 2^1139205408 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 1139205408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635572736).

1139205408 is an abundant number, since it is smaller than the sum of its proper divisors (2131940064).

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

1139205408 is a wasteful number, since it uses less digits than its factorization.

1139205408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1139205408 is about 33752.1170891546. The cubic root of 1139205408 is about 1044.4011611391.

The spelling of 1139205408 in words is "one billion, one hundred thirty-nine million, two hundred five thousand, four hundred eight".