4577606401 has 16 divisors (see below), whose sum is σ = 4695379920. Its totient is φ = 4461557760.

The previous prime is 4577606399. The next prime is 4577606437. The reversal of 4577606401 is 1046067754.

It can be written as a sum of positive squares in 8 ways, for example, as 150700176 + 4426906225 = 12276^2 + 66535^2 .

It is a cyclic number.

It is not a de Polignac number, because 4577606401 - 2¹ = 4577606399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4577606101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5195481 + ... + 5196361.

It is an arithmetic number, because the mean of its divisors is an integer number (293461245).

Almost surely, 2^4577606401 is an apocalyptic number.

It is an amenable number.

4577606401 is a deficient number, since it is larger than the sum of its proper divisors (117773519).

4577606401 is a wasteful number, since it uses less digits than its factorization.

4577606401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716.

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 4577606401 is about 67658.0106195859. The cubic root of 4577606401 is about 1660.4003487136.

The spelling of 4577606401 in words is "four billion, five hundred seventy-seven million, six hundred six thousand, four hundred one".