1001400 has 48 divisors (see below), whose sum is σ = 3106200. Its totient is φ = 266880.

The previous prime is 1001389. The next prime is 1001401. The reversal of 1001400 is 41001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235 + ... + 1434.

2^1001400 is an apocalyptic number.

1001400 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 1001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553100).

1001400 is an abundant number, since it is smaller than the sum of its proper divisors (2104800).

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

1001400 is a wasteful number, since it uses less digits than its factorization.

1001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1001400 is about 1000.6997551714. The cubic root of 1001400 is about 100.0466449058.

Adding to 1001400 its reverse (41001), we get a palindrome (1042401).

The spelling of 1001400 in words is "one million, one thousand, four hundred".