476124012 has 288 divisors, whose sum is σ = 1585059840. Its totient is φ = 117089280.

The previous prime is 476124007. The next prime is 476124013. The reversal of 476124012 is 210421674.

476124012 is a `hidden beast` number, since 4 + 7 + 612 + 40 + 1 + 2 = 666.

It is a super-4 number, since 4×476124012⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is not an unprimeable number, because it can be changed into a prime (476124013) 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 95 ways as a sum of consecutive naturals, for example, 5349664 + ... + 5349752.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^476124012 is an apocalyptic number.

476124012 is a gapful number since it is divisible by the number (42) 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 476124012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

476124012 is an abundant number, since it is smaller than the sum of its proper divisors (1108935828).

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

476124012 is a wasteful number, since it uses less digits than its factorization.

476124012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 476124012 is about 21820.2660845371. The cubic root of 476124012 is about 780.8603327633.

Adding to 476124012 its reverse (210421674), we get a palindrome (686545686).

The spelling of 476124012 in words is "four hundred seventy-six million, one hundred twenty-four thousand, twelve".