4579461601 has 64 divisors (see below), whose sum is σ = 5802128640. Its totient is φ = 3556224000.

The previous prime is 4579461583. The next prime is 4579461611. The reversal of 4579461601 is 1061649754.

It is a 4-Lehmer number, since φ(4579461601) divides (4579461601-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 4579461601 - 2¹³ = 4579453409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a deceptive number, since it divides R_4579461600.

It is not an unprimeable number, because it can be changed into a prime (4579461611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10877371 + ... + 10877791.

It is an arithmetic number, because the mean of its divisors is an integer number (90658260).

It is a Poulet number, since it divides 2^4579461600-1.

Almost surely, 2^4579461601 is an apocalyptic number.

It is an amenable number.

4579461601 is a deficient number, since it is larger than the sum of its proper divisors (1222667039).

4579461601 is a wasteful number, since it uses less digits than its factorization.

4579461601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578.

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 4579461601 is about 67671.7193589759. The cubic root of 4579461601 is about 1660.6246259461.

The spelling of 4579461601 in words is "four billion, five hundred seventy-nine million, four hundred sixty-one thousand, six hundred one".