6446400 has 168 divisors, whose sum is σ = 22677120. Its totient is φ = 1597440.

The previous prime is 6446387. The next prime is 6446413. The reversal of 6446400 is 46446.

It is an interprime number because it is at equal distance from previous prime (6446387) and next prime (6446413).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81561 + ... + 81639.

Almost surely, 2^6446400 is an apocalyptic number.

6446400 is a gapful number since it is divisible by the number (60) 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 6446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

6446400 is an abundant number, since it is smaller than the sum of its proper divisors (16230720).

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

6446400 is a wasteful number, since it uses less digits than its factorization.

6446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6446400 is about 2538.9761716093. The cubic root of 6446400 is about 186.1111602848. Note that the first 4 decimals are identical.

It can be divided in two parts, 64 and 46400, that added together give a palindrome (46464).

The spelling of 6446400 in words is "six million, four hundred forty-six thousand, four hundred".