472400000 has 96 divisors (see below), whose sum is σ = 1177307460. Its totient is φ = 188800000.

The previous prime is 472399997. The next prime is 472400011. The reversal of 472400000 is 4274.

It can be written as a sum of positive squares in 6 ways, for example, as 5494336 + 466905664 = 2344^2 + 21608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399410 + ... + 400590.

Almost surely, 2^472400000 is an apocalyptic number.

472400000 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 472400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588653730).

472400000 is an abundant number, since it is smaller than the sum of its proper divisors (704907460).

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

472400000 is an frugal number, since it uses more digits than its factorization.

472400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1188 counting only the distinct ones).

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

The square root of 472400000 is about 21734.7647790355. The cubic root of 472400000 is about 778.8191643733.

Adding to 472400000 its reverse (4274), we get a palindrome (472404274).

The spelling of 472400000 in words is "four hundred seventy-two million, four hundred thousand".