472400 has 30 divisors (see below), whose sum is σ = 1135902. Its totient is φ = 188800.

The previous prime is 472399. The next prime is 472411. The reversal of 472400 is 4274.

472400 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 107584 + 364816 = 328^2 + 604^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191 + ... + 990.

2⁴⁷²⁴⁰⁰ is an apocalyptic number.

472400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472400 is an abundant number, since it is smaller than the sum of its proper divisors (663502).

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

472400 is a wasteful number, since it uses less digits than its factorization.

472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 472400 is about 687.3136110976. The cubic root of 472400 is about 77.8819164373.

Adding to 472400 its reverse (4274), we get a palindrome (476674).

The spelling of 472400 in words is "four hundred seventy-two thousand, four hundred", and thus it is an iban number.