473523600 has 240 divisors, whose sum is σ = 1713193920. Its totient is φ = 110745600.

The previous prime is 473523599. The next prime is 473523601. The reversal of 473523600 is 6325374.

It is an interprime number because it is at equal distance from previous prime (473523599) and next prime (473523601).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (473523601) 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, 382182 + ... + 383418.

It is an arithmetic number, because the mean of its divisors is an integer number (7138308).

Almost surely, 2^473523600 is an apocalyptic number.

473523600 is a gapful number since it is divisible by the number (40) 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 473523600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856596960).

473523600 is an abundant number, since it is smaller than the sum of its proper divisors (1239670320).

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

473523600 is a wasteful number, since it uses less digits than its factorization.

473523600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 473523600 is about 21760.5974182696. The cubic root of 473523600 is about 779.4361473941.

Adding to 473523600 its reverse (6325374), we get a palindrome (479848974).

The spelling of 473523600 in words is "four hundred seventy-three million, five hundred twenty-three thousand, six hundred".