473328000 has 384 divisors, whose sum is σ = 1799647200. Its totient is φ = 118886400.

The previous prime is 473327993. The next prime is 473328007. The reversal of 473328000 is 823374.

It is an interprime number because it is at equal distance from previous prime (473327993) and next prime (473328007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473328007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735914 + ... + 2736086.

Almost surely, 2^473328000 is an apocalyptic number.

473328000 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 473328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899823600).

473328000 is an abundant number, since it is smaller than the sum of its proper divisors (1326319200).

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

473328000 is a wasteful number, since it uses less digits than its factorization.

473328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 473328000 is about 21756.1025921464. The cubic root of 473328000 is about 779.3288111688.

The spelling of 473328000 in words is "four hundred seventy-three million, three hundred twenty-eight thousand".