473306400 has 216 divisors, whose sum is σ = 1907627904. Its totient is φ = 108172800.

The previous prime is 473306399. The next prime is 473306411. The reversal of 473306400 is 4603374.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45705 + ... + 55095.

Almost surely, 2^473306400 is an apocalyptic number.

473306400 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 473306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953813952).

473306400 is an abundant number, since it is smaller than the sum of its proper divisors (1434321504).

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

473306400 is a wasteful number, since it uses less digits than its factorization.

473306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 473306400 is about 21755.6061740417. The cubic root of 473306400 is about 779.3169562758.

Adding to 473306400 its reverse (4603374), we get a palindrome (477909774).

The spelling of 473306400 in words is "four hundred seventy-three million, three hundred six thousand, four hundred".