1049635080 has 384 divisors, whose sum is σ = 3962649600. Its totient is φ = 238657536.

The previous prime is 1049635073. The next prime is 1049635087. The reversal of 1049635080 is 805369401.

1049635080 is a `hidden beast` number, since 10 + 4 + 9 + 635 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1049635073) and next prime (1049635087).

It is a super-2 number, since 2×1049635080² = 2203467602333212800, which contains 22 as substring.

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 (1049635087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6285157 + ... + 6285323.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^1049635080 is an apocalyptic number.

1049635080 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 1049635080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1049635080 is an abundant number, since it is smaller than the sum of its proper divisors (2913014520).

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

1049635080 is a wasteful number, since it uses less digits than its factorization.

1049635080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1049635080 is about 32398.0721648681. The cubic root of 1049635080 is about 1016.2785960736.

The spelling of 1049635080 in words is "one billion, forty-nine million, six hundred thirty-five thousand, eighty".