6477408 has 216 divisors, whose sum is σ = 23528232. Its totient is φ = 1741824.

The previous prime is 6477397. The next prime is 6477409. The reversal of 6477408 is 8047746.

It is a happy number.

6477408 is a `hidden beast` number, since 647 + 7 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6477409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381016 + ... + 381032.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 2^6477408 is an apocalyptic number.

6477408 is a gapful number since it is divisible by the number (68) 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 6477408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

6477408 is an abundant number, since it is smaller than the sum of its proper divisors (17050824).

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

6477408 is a wasteful number, since it uses less digits than its factorization.

6477408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6477408 is about 2545.0752444672. The cubic root of 6477408 is about 186.4090891821.

The spelling of 6477408 in words is "six million, four hundred seventy-seven thousand, four hundred eight".