476624544 has 96 divisors (see below), whose sum is σ = 1369073664. Its totient is φ = 143988480.

The previous prime is 476624543. The next prime is 476624573. The reversal of 476624544 is 445426674.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 476624496 and 476624505.

It is not an unprimeable number, because it can be changed into a prime (476624543) 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, 551857 + ... + 552719.

It is an arithmetic number, because the mean of its divisors is an integer number (14261184).

Almost surely, 2^476624544 is an apocalyptic number.

476624544 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 476624544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684536832).

476624544 is an abundant number, since it is smaller than the sum of its proper divisors (892449120).

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

476624544 is a wasteful number, since it uses less digits than its factorization.

476624544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1402 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 476624544 is about 21831.7325011095. The cubic root of 476624544 is about 781.1338670342.

The spelling of 476624544 in words is "four hundred seventy-six million, six hundred twenty-four thousand, five hundred forty-four".