476261928 has 192 divisors, whose sum is σ = 1403750400. Its totient is φ = 145566720.

The previous prime is 476261927. The next prime is 476261941. The reversal of 476261928 is 829162674.

It is a happy number.

476261928 is a `hidden beast` number, since 4 + 7 + 6 + 2 + 619 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (476261921) 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 47 ways as a sum of consecutive naturals, for example, 6028593 + ... + 6028671.

It is an arithmetic number, because the mean of its divisors is an integer number (7311200).

Almost surely, 2^476261928 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 476261928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701875200).

476261928 is an abundant number, since it is smaller than the sum of its proper divisors (927488472).

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

476261928 is a wasteful number, since it uses less digits than its factorization.

476261928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 476261928 is about 21823.4261288185. The cubic root of 476261928 is about 780.9357212016.

The spelling of 476261928 in words is "four hundred seventy-six million, two hundred sixty-one thousand, nine hundred twenty-eight".