6455400 has 192 divisors, whose sum is σ = 24105600. Its totient is φ = 1397760.

The previous prime is 6455399. The next prime is 6455419. The reversal of 6455400 is 45546.

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 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, 121774 + ... + 121826.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

Almost surely, 2^6455400 is an apocalyptic number.

6455400 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 6455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

6455400 is an abundant number, since it is smaller than the sum of its proper divisors (17650200).

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

6455400 is a wasteful number, since it uses less digits than its factorization.

6455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 6455400 is about 2540.7479213806. The cubic root of 6455400 is about 186.1977316808.

The spelling of 6455400 in words is "six million, four hundred fifty-five thousand, four hundred".