473535200 has 72 divisors (see below), whose sum is σ = 1195939080. Its totient is φ = 182873600.

The previous prime is 473535197. The next prime is 473535211. The reversal of 473535200 is 2535374.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 11 ways as a sum of consecutive naturals, for example, 12995 + ... + 33405.

It is an arithmetic number, because the mean of its divisors is an integer number (16610265).

Almost surely, 2^473535200 is an apocalyptic number.

473535200 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 473535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597969540).

473535200 is an abundant number, since it is smaller than the sum of its proper divisors (722403880).

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

473535200 is a wasteful number, since it uses less digits than its factorization.

473535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20460 (or 20447 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 473535200 is about 21760.8639534371. The cubic root of 473535200 is about 779.4425120085.

The spelling of 473535200 in words is "four hundred seventy-three million, five hundred thirty-five thousand, two hundred".