4577640 has 64 divisors (see below), whose sum is σ = 14117760. Its totient is φ = 1186560.

The previous prime is 4577627. The next prime is 4577647. The reversal of 4577640 is 467754.

4577640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4577647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3925 + ... + 4955.

It is an arithmetic number, because the mean of its divisors is an integer number (220590).

Almost surely, 2^4577640 is an apocalyptic number.

4577640 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 4577640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058880).

4577640 is an abundant number, since it is smaller than the sum of its proper divisors (9540120).

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

4577640 is a wasteful number, since it uses less digits than its factorization.

4577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 4577640 is about 2139.5420070660. The cubic root of 4577640 is about 166.0404411074.

The spelling of 4577640 in words is "four million, five hundred seventy-seven thousand, six hundred forty".