6458400 has 288 divisors, whose sum is σ = 26248320. Its totient is φ = 1520640.

The previous prime is 6458399. The next prime is 6458407. The reversal of 6458400 is 48546.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6458407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280789 + ... + 280811.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

Almost surely, 2^6458400 is an apocalyptic number.

6458400 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 6458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

6458400 is an abundant number, since it is smaller than the sum of its proper divisors (19789920).

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

6458400 is a wasteful number, since it uses less digits than its factorization.

6458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6458400 is about 2541.3382301457. The cubic root of 6458400 is about 186.2265709309.

It can be divided in two parts, 645 and 8400, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 6458400 in words is "six million, four hundred fifty-eight thousand, four hundred".