476238105 has 36 divisors (see below), whose sum is σ = 960255972. Its totient is φ = 217707840.

The previous prime is 476238101. The next prime is 476238107. The reversal of 476238105 is 501832674.

It can be written as a sum of positive squares in 2 ways, for example, as 252047376 + 224190729 = 15876^2 + 14973^2 .

It is not a de Polignac number, because 476238105 - 2² = 476238101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 476238105.

It is not an unprimeable number, because it can be changed into a prime (476238101) 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 35 ways as a sum of consecutive naturals, for example, 105786 + ... + 110195.

It is an arithmetic number, because the mean of its divisors is an integer number (26673777).

Almost surely, 2^476238105 is an apocalyptic number.

476238105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

476238105 is an abundant number, since it is smaller than the sum of its proper divisors (484017867).

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

476238105 is a wasteful number, since it uses less digits than its factorization.

476238105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216006 (or 215996 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 476238105 is about 21822.8803094367. The cubic root of 476238105 is about 780.9226999761.

The spelling of 476238105 in words is "four hundred seventy-six million, two hundred thirty-eight thousand, one hundred five".