1049993406 has 96 divisors (see below), whose sum is σ = 3003257088. Its totient is φ = 256677120.

The previous prime is 1049993353. The next prime is 1049993407. The reversal of 1049993406 is 6043999401.

1049993406 = 158² + 159² + ... + 1466².

It is a super-2 number, since 2×1049993406² = 2204972305286961672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049993407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281 + ... + 45843.

It is an arithmetic number, because the mean of its divisors is an integer number (31283928).

Almost surely, 2^1049993406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049993406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501628544).

1049993406 is an abundant number, since it is smaller than the sum of its proper divisors (1953263682).

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

1049993406 is a wasteful number, since it uses less digits than its factorization.

1049993406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44606 (or 44603 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1049993406 is about 32403.6017442506. The cubic root of 1049993406 is about 1016.3942291540.

The spelling of 1049993406 in words is "one billion, forty-nine million, nine hundred ninety-three thousand, four hundred six".