4577480 has 48 divisors (see below), whose sum is σ = 10904220. Its totient is φ = 1729152.

The previous prime is 4577477. The next prime is 4577509. The reversal of 4577480 is 847754.

4577480 = 285² + 286² + ... + 332².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4056196 + 521284 = 2014^2 + 722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4577480.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14282 + ... + 14598.

Almost surely, 2^4577480 is an apocalyptic number.

4577480 is a gapful number since it is divisible by the number (40) 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 4577480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452110).

4577480 is an abundant number, since it is smaller than the sum of its proper divisors (6326740).

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

4577480 is a wasteful number, since it uses less digits than its factorization.

4577480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 4577480 is about 2139.5046155594. The cubic root of 4577480 is about 166.0385065749.

It can be divided in two parts, 45774 and 80, that added together give a palindrome (45854).

The spelling of 4577480 in words is "four million, five hundred seventy-seven thousand, four hundred eighty".