473903360 has 144 divisors (see below), whose sum is σ = 1308617856. Its totient is φ = 161071104.

The previous prime is 473903351. The next prime is 473903389. The reversal of 473903360 is 63309374.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 473903360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2033804 + ... + 2034036.

It is an arithmetic number, because the mean of its divisors is an integer number (9087624).

Almost surely, 2^473903360 is an apocalyptic number.

473903360 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 473903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654308928).

473903360 is an abundant number, since it is smaller than the sum of its proper divisors (834714496).

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

473903360 is a wasteful number, since it uses less digits than its factorization.

473903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 473903360 is about 21769.3215328361. The cubic root of 473903360 is about 779.6444577278.

The spelling of 473903360 in words is "four hundred seventy-three million, nine hundred three thousand, three hundred sixty".