473200 has 90 divisors (see below), whose sum is σ = 1406904. Its totient is φ = 149760.

The previous prime is 473197. The next prime is 473201. The reversal of 473200 is 2374.

It is a super-3 number, since 3×473200³ = 317874333504000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36394 + ... + 36406.

2⁴⁷³²⁰⁰ is an apocalyptic number.

473200 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 473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703452).

473200 is an abundant number, since it is smaller than the sum of its proper divisors (933704).

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

473200 is a wasteful number, since it uses less digits than its factorization.

473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 473200 is about 687.8953408768. The cubic root of 473200 is about 77.9258554686.

Adding to 473200 its reverse (2374), we get a palindrome (475574).

The spelling of 473200 in words is "four hundred seventy-three thousand, two hundred", and thus it is an iban number.