1001416832 has 32 divisors (see below), whose sum is σ = 2148475980. Its totient is φ = 462191616.

The previous prime is 1001416817. The next prime is 1001416837. The reversal of 1001416832 is 2386141001.

It can be written as a sum of positive squares in 2 ways, for example, as 908178496 + 93238336 = 30136^2 + 9656^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1001416837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299243 + ... + 302570.

Almost surely, 2^1001416832 is an apocalyptic number.

It is an amenable number.

1001416832 is an abundant number, since it is smaller than the sum of its proper divisors (1147059148).

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

1001416832 is an equidigital number, since it uses as much as digits as its factorization.

1001416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601840 (or 601828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1001416832 is about 31645.1707532129. The cubic root of 1001416832 is about 1000.4720544629.

Adding to 1001416832 its reverse (2386141001), we get a palindrome (3387557833).

The spelling of 1001416832 in words is "one billion, one million, four hundred sixteen thousand, eight hundred thirty-two".