1049412000 has 576 divisors, whose sum is σ = 4372123392. Its totient is φ = 214272000.

The previous prime is 1049411983. The next prime is 1049412017. The reversal of 1049412000 is 2149401.

It is an interprime number because it is at equal distance from previous prime (1049411983) and next prime (1049412017).

It is a super-2 number, since 2×1049412000² = 2202531091488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 33851985 + ... + 33852015.

It is an arithmetic number, because the mean of its divisors is an integer number (7590492).

Almost surely, 2^1049412000 is an apocalyptic number.

1049412000 is a gapful number since it is divisible by the number (10) 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 1049412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186061696).

1049412000 is an abundant number, since it is smaller than the sum of its proper divisors (3322711392).

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

1049412000 is a wasteful number, since it uses less digits than its factorization.

1049412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1049412000 is about 32394.6291844806. The cubic root of 1049412000 is about 1016.2065940681.

The spelling of 1049412000 in words is "one billion, forty-nine million, four hundred twelve thousand".