14401000 has 32 divisors (see below), whose sum is σ = 33700680. Its totient is φ = 5760000.

The previous prime is 14400979. The next prime is 14401007. The reversal of 14401000 is 10441.

It can be written as a sum of positive squares in 4 ways, for example, as 9622404 + 4778596 = 3102^2 + 2186^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (14401007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6201 + ... + 8200.

Almost surely, 2^14401000 is an apocalyptic number.

14401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401000 is an abundant number, since it is smaller than the sum of its proper divisors (19299680).

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

14401000 is a wasteful number, since it uses less digits than its factorization.

14401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14422 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14401000 is about 3794.8649514838. The cubic root of 14401000 is about 243.2937113611.

Adding to 14401000 its reverse (10441), we get a palindrome (14411441).

The spelling of 14401000 in words is "fourteen million, four hundred one thousand".