16401000 has 256 divisors, whose sum is σ = 64696320. Its totient is φ = 3360000.

The previous prime is 16400987. The next prime is 16401013. The reversal of 16401000 is 10461.

It is an interprime number because it is at equal distance from previous prime (16400987) and next prime (16401013).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230965 + ... + 231035.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 2^16401000 is an apocalyptic number.

16401000 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 16401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32348160).

16401000 is an abundant number, since it is smaller than the sum of its proper divisors (48295320).

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

16401000 is a wasteful number, since it uses less digits than its factorization.

16401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 16401000 is about 4049.8148105808. The cubic root of 16401000 is about 254.0719824093.

Adding to 16401000 its reverse (10461), we get a palindrome (16411461).

The spelling of 16401000 in words is "sixteen million, four hundred one thousand".