473439600 has 240 divisors, whose sum is σ = 1715961600. Its totient is φ = 123943680.

The previous prime is 473439581. The next prime is 473439643. The reversal of 473439600 is 6934374.

473439600 is a `hidden beast` number, since 4 + 7 + 3 + 43 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 636829 + ... + 637571.

It is an arithmetic number, because the mean of its divisors is an integer number (7149840).

Almost surely, 2^473439600 is an apocalyptic number.

473439600 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 473439600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857980800).

473439600 is an abundant number, since it is smaller than the sum of its proper divisors (1242522000).

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

473439600 is a wasteful number, since it uses less digits than its factorization.

473439600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 473439600 is about 21758.6672385971. The cubic root of 473439600 is about 779.3900557045.

The spelling of 473439600 in words is "four hundred seventy-three million, four hundred thirty-nine thousand, six hundred".