1052889408 has 112 divisors (see below), whose sum is σ = 3258312000. Its totient is φ = 332481024.

The previous prime is 1052889391. The next prime is 1052889449. The reversal of 1052889408 is 8049882501.

It is a happy number.

1052889408 is a `hidden beast` number, since 1 + 0 + 528 + 89 + 40 + 8 = 666.

It is a super-2 number, since 2×1052889408² = 2217152210957180928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16798 + ... + 48866.

Almost surely, 2^1052889408 is an apocalyptic number.

1052889408 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 1052889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629156000).

1052889408 is an abundant number, since it is smaller than the sum of its proper divisors (2205422592).

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

1052889408 is a wasteful number, since it uses less digits than its factorization.

1052889408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32109 (or 32093 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1052889408 is about 32448.2573954288. The cubic root of 1052889408 is about 1017.3278152417.

The spelling of 1052889408 in words is "one billion, fifty-two million, eight hundred eighty-nine thousand, four hundred eight".