476661024 has 288 divisors, whose sum is σ = 1648987200. Its totient is φ = 135209088.

The previous prime is 476661013. The next prime is 476661067. The reversal of 476661024 is 420166674.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 476661024.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3429147 + ... + 3429285.

It is an arithmetic number, because the mean of its divisors is an integer number (5725650).

Almost surely, 2^476661024 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 476661024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824493600).

476661024 is an abundant number, since it is smaller than the sum of its proper divisors (1172326176).

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

476661024 is an equidigital number, since it uses as much as digits as its factorization.

476661024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 476661024 is about 21832.5679662288. The cubic root of 476661024 is about 781.1537953942.

The spelling of 476661024 in words is "four hundred seventy-six million, six hundred sixty-one thousand, twenty-four".