4677408 has 72 divisors (see below), whose sum is σ = 13513500. Its totient is φ = 1534464.

The previous prime is 4677391. The next prime is 4677427. The reversal of 4677408 is 8047764.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 63504 = 2148^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31318 + ... + 31466.

Almost surely, 2^4677408 is an apocalyptic number.

4677408 is a gapful number since it is divisible by the number (48) 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 4677408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756750).

4677408 is an abundant number, since it is smaller than the sum of its proper divisors (8836092).

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

4677408 is a wasteful number, since it uses less digits than its factorization.

4677408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

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

The square root of 4677408 is about 2162.7316060945. The cubic root of 4677408 is about 167.2380460264.

It can be divided in two parts, 467 and 7408, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 4677408 in words is "four million, six hundred seventy-seven thousand, four hundred eight".