476141328 has 200 divisors, whose sum is σ = 1512403200. Its totient is φ = 143721216.

The previous prime is 476141327. The next prime is 476141357. The reversal of 476141328 is 823141674.

476141328 is a `hidden beast` number, since 4 + 7 + 614 + 1 + 32 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 476141292 and 476141301.

It is not an unprimeable number, because it can be changed into a prime (476141327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 993793 + ... + 994271.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^476141328 is an apocalyptic number.

476141328 is a gapful number since it is divisible by the number (48) 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 476141328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756201600).

476141328 is an abundant number, since it is smaller than the sum of its proper divisors (1036261872).

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

476141328 is a wasteful number, since it uses less digits than its factorization.

476141328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 476141328 is about 21820.6628680249. The cubic root of 476141328 is about 780.8697989341.

The spelling of 476141328 in words is "four hundred seventy-six million, one hundred forty-one thousand, three hundred twenty-eight".