473029200 has 240 divisors, whose sum is σ = 1924460160. Its totient is φ = 108103680.

The previous prime is 473029189. The next prime is 473029211. The reversal of 473029200 is 2920374.

It is an interprime number because it is at equal distance from previous prime (473029189) and next prime (473029211).

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 (27).

It is a congruent number.

It is an unprimeable number.

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, 72472 + ... + 78728.

It is an arithmetic number, because the mean of its divisors is an integer number (8018584).

Almost surely, 2^473029200 is an apocalyptic number.

473029200 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 473029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962230080).

473029200 is an abundant number, since it is smaller than the sum of its proper divisors (1451430960).

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

473029200 is a wasteful number, since it uses less digits than its factorization.

473029200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 473029200 is about 21749.2344692865. The cubic root of 473029200 is about 779.1647864571.

Adding to 473029200 its reverse (2920374), we get a palindrome (475949574).

It can be divided in two parts, 4730 and 29200, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 473029200 in words is "four hundred seventy-three million, twenty-nine thousand, two hundred".