1000413330 has 64 divisors (see below), whose sum is σ = 2802401280. Its totient is φ = 223798464.

The previous prime is 1000413329. The next prime is 1000413343. The reversal of 1000413330 is 333140001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 40810 + ... + 60549.

It is an arithmetic number, because the mean of its divisors is an integer number (43787520).

Almost surely, 2^1000413330 is an apocalyptic number.

1000413330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000413330 is an abundant number, since it is smaller than the sum of its proper divisors (1801987950).

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

1000413330 is a wasteful number, since it uses less digits than its factorization.

1000413330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101423.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1000413330 is about 31629.3112476386. The cubic root of 1000413330 is about 1000.1377576886.

Adding to 1000413330 its reverse (333140001), we get a palindrome (1333553331).

The spelling of 1000413330 in words is "one billion, four hundred thirteen thousand, three hundred thirty".