1074138408 has 120 divisors (see below), whose sum is σ = 3499882650. Its totient is φ = 306887616.

The previous prime is 1074138407. The next prime is 1074138413. The reversal of 1074138408 is 8048314701.

It can be written as a sum of positive squares in only one way, i.e., 818074404 + 256064004 = 28602^2 + 16002^2 .

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 (1074138407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14838 + ... + 48666.

Almost surely, 2^1074138408 is an apocalyptic number.

1074138408 is a gapful number since it is divisible by the number (18) 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 1074138408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749941325).

1074138408 is an abundant number, since it is smaller than the sum of its proper divisors (2425744242).

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

1074138408 is a wasteful number, since it uses less digits than its factorization.

1074138408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33861 (or 33841 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1074138408 is about 32774.0508329379. The cubic root of 1074138408 is about 1024.1260551403.

The spelling of 1074138408 in words is "one billion, seventy-four million, one hundred thirty-eight thousand, four hundred eight".