4577201464 has 64 divisors (see below), whose sum is σ = 9459555840. Its totient is φ = 2059090560.

The previous prime is 4577201443. The next prime is 4577201507. The reversal of 4577201464 is 4641027754.

It is a congruent number.

It is an unprimeable number.

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, 4305397 + ... + 4306459.

It is an arithmetic number, because the mean of its divisors is an integer number (147805560).

Almost surely, 2^4577201464 is an apocalyptic number.

4577201464 is a gapful number since it is divisible by the number (44) 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 4577201464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729777920).

4577201464 is an abundant number, since it is smaller than the sum of its proper divisors (4882354376).

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

4577201464 is a wasteful number, since it uses less digits than its factorization.

4577201464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 4577201464 is about 67655.0180252729. The cubic root of 4577201464 is about 1660.3513873640.

The spelling of 4577201464 in words is "four billion, five hundred seventy-seven million, two hundred one thousand, four hundred sixty-four".