6401900 has 18 divisors (see below), whose sum is σ = 13892340. Its totient is φ = 2560720.

The previous prime is 6401893. The next prime is 6401921. The reversal of 6401900 is 91046.

It is a super-2 number, since 2×6401900² = 81968647220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31910 + ... + 32109.

Almost surely, 2^6401900 is an apocalyptic number.

It is an amenable number.

6401900 is an abundant number, since it is smaller than the sum of its proper divisors (7490440).

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

6401900 is a wasteful number, since it uses less digits than its factorization.

6401900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64033 (or 64026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 6401900 is about 2530.1976207403. The cubic root of 6401900 is about 185.6819244825.

Adding to 6401900 its reverse (91046), we get a palindrome (6492946).

The spelling of 6401900 in words is "six million, four hundred one thousand, nine hundred".