1001384400 has 60 divisors (see below), whose sum is σ = 3207771872. Its totient is φ = 267035520.

The previous prime is 1001384389. The next prime is 1001384411. The reversal of 1001384400 is 44831001.

It is an interprime number because it is at equal distance from previous prime (1001384389) and next prime (1001384411).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416044 + ... + 418443.

Almost surely, 2^1001384400 is an apocalyptic number.

1001384400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001384400 is an abundant number, since it is smaller than the sum of its proper divisors (2206387472).

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

1001384400 is a wasteful number, since it uses less digits than its factorization.

1001384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834508 (or 834497 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1001384400 is about 31644.6583170051. The cubic root of 1001384400 is about 1000.4612538788.

The spelling of 1001384400 in words is "one billion, one million, three hundred eighty-four thousand, four hundred".