1001405400 has 192 divisors, whose sum is σ = 3394068480. Its totient is φ = 243148800.

The previous prime is 1001405387. The next prime is 1001405411. The reversal of 1001405400 is 45041001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001405400.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 314617 + ... + 317783.

It is an arithmetic number, because the mean of its divisors is an integer number (17677440).

Almost surely, 2^1001405400 is an apocalyptic number.

1001405400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

1001405400 is an abundant number, since it is smaller than the sum of its proper divisors (2392663080).

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

1001405400 is a wasteful number, since it uses less digits than its factorization.

1001405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1001405400 is about 31644.9901248207. The cubic root of 1001405400 is about 1000.4682473768.

Adding to 1001405400 its reverse (45041001), we get a palindrome (1046446401).

The spelling of 1001405400 in words is "one billion, one million, four hundred five thousand, four hundred".