4477464 has 64 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 1412640.

The previous prime is 4477463. The next prime is 4477471. The reversal of 4477464 is 4647744.

4477464 = T₆₇₇ + T₆₇₈ + ... + T₆₉₅.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 4⁴ + 4⁴ + 7⁴ + 7⁵ + 4⁹ + 6⁴ + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477463) 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 15 ways as a sum of consecutive naturals, for example, 3559 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^4477464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4477464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

4477464 is an abundant number, since it is smaller than the sum of its proper divisors (8626536).

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

4477464 is a wasteful number, since it uses less digits than its factorization.

4477464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 4477464 is about 2116.0018903583. The cubic root of 4477464 is about 164.8203002297.

The spelling of 4477464 in words is "four million, four hundred seventy-seven thousand, four hundred sixty-four".