1045882530 has 320 divisors, whose sum is σ = 3600495360. Its totient is φ = 211507200.

The previous prime is 1045882451. The next prime is 1045882553. The reversal of 1045882530 is 352885401.

It is a happy number.

1045882530 is a `hidden beast` number, since 1 + 0 + 45 + 8 + 82 + 530 = 666.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2556966 + ... + 2557374.

It is an arithmetic number, because the mean of its divisors is an integer number (11251548).

Almost surely, 2^1045882530 is an apocalyptic number.

1045882530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045882530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800247680).

1045882530 is an abundant number, since it is smaller than the sum of its proper divisors (2554612830).

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

1045882530 is a wasteful number, since it uses less digits than its factorization.

1045882530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1045882530 is about 32340.1071426797. The cubic root of 1045882530 is about 1015.0660508514.

The spelling of 1045882530 in words is "one billion, forty-five million, eight hundred eighty-two thousand, five hundred thirty".