473586048 has 256 divisors, whose sum is σ = 1535385600. Its totient is φ = 142829568.

The previous prime is 473586041. The next prime is 473586059. The reversal of 473586048 is 840685374.

473586048 is a `hidden beast` number, since 4 + 7 + 35 + 8 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 473585994 and 473586012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473586041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728961 + ... + 3729087.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2^473586048 is an apocalyptic number.

473586048 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 473586048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767692800).

473586048 is an abundant number, since it is smaller than the sum of its proper divisors (1061799552).

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

473586048 is a wasteful number, since it uses less digits than its factorization.

473586048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 473586048 is about 21762.0322580406. The cubic root of 473586048 is about 779.4704097406.

The spelling of 473586048 in words is "four hundred seventy-three million, five hundred eighty-six thousand, forty-eight".