1000414233 has 144 divisors (see below), whose sum is σ = 1965914496. Its totient is φ = 502951680.

The previous prime is 1000414229. The next prime is 1000414243. The reversal of 1000414233 is 3324140001.

It is not a de Polignac number, because 1000414233 - 2² = 1000414229 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000414243) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3560053 + ... + 3560333.

It is an arithmetic number, because the mean of its divisors is an integer number (13652184).

Almost surely, 2^1000414233 is an apocalyptic number.

1000414233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000414233 is a deficient number, since it is larger than the sum of its proper divisors (965500263).

1000414233 is a wasteful number, since it uses less digits than its factorization.

1000414233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1000414233 is about 31629.3255223693. The cubic root of 1000414233 is about 1000.1380586056.

Adding to 1000414233 its reverse (3324140001), we get a palindrome (4324554234).

The spelling of 1000414233 in words is "one billion, four hundred fourteen thousand, two hundred thirty-three".