476153728 has 64 divisors (see below), whose sum is σ = 996066720. Its totient is φ = 226293760.

The previous prime is 476153719. The next prime is 476153729. The reversal of 476153728 is 827351674.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476153729) 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 7 ways as a sum of consecutive naturals, for example, 579558 + ... + 580378.

Almost surely, 2^476153728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498033360).

476153728 is an abundant number, since it is smaller than the sum of its proper divisors (519912992).

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

476153728 is a wasteful number, since it uses less digits than its factorization.

476153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 476153728 is about 21820.9470005314. The cubic root of 476153728 is about 780.8765775247.

The spelling of 476153728 in words is "four hundred seventy-six million, one hundred fifty-three thousand, seven hundred twenty-eight".