1049841000 has 320 divisors, whose sum is σ = 3956032080. Its totient is φ = 258163200.

The previous prime is 1049840989. The next prime is 1049841011. The reversal of 1049841000 is 1489401.

It is an interprime number because it is at equal distance from previous prime (1049840989) and next prime (1049841011).

It can be written as a sum of positive squares in 8 ways, for example, as 35928036 + 1013912964 = 5994^2 + 31842^2 .

It is a super-2 number, since 2×1049841000² = 2204332250562000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1052502 + ... + 1053498.

Almost surely, 2^1049841000 is an apocalyptic number.

1049841000 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 1049841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978016040).

1049841000 is an abundant number, since it is smaller than the sum of its proper divisors (2906191080).

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

1049841000 is a wasteful number, since it uses less digits than its factorization.

1049841000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1049841000 is about 32401.2499758883. The cubic root of 1049841000 is about 1016.3450504089.

The spelling of 1049841000 in words is "one billion, forty-nine million, eight hundred forty-one thousand".