6355440 has 240 divisors, whose sum is σ = 26539968. Its totient is φ = 1327104.

The previous prime is 6355381. The next prime is 6355457. The reversal of 6355440 is 445536.

It is a Cunningham number, because it is equal to 2521²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65472 + ... + 65568.

Almost surely, 2^6355440 is an apocalyptic number.

6355440 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 6355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269984).

6355440 is an abundant number, since it is smaller than the sum of its proper divisors (20184528).

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

6355440 is a wasteful number, since it uses less digits than its factorization.

6355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6355440 is about 2520.9998016660. Note that the first 3 decimals coincide. The cubic root of 6355440 is about 185.2316552614.

The spelling of 6355440 in words is "six million, three hundred fifty-five thousand, four hundred forty".