473500720 has 240 divisors, whose sum is σ = 1424908800. Its totient is φ = 144668160.

The previous prime is 473500697. The next prime is 473500721. The reversal of 473500720 is 27005374.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (473500721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3406411 + ... + 3406549.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^473500720 is an apocalyptic number.

473500720 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 473500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

473500720 is an abundant number, since it is smaller than the sum of its proper divisors (951408080).

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

473500720 is a wasteful number, since it uses less digits than its factorization.

473500720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 473500720 is about 21760.0716910584. The cubic root of 473500720 is about 779.4235934360.

The spelling of 473500720 in words is "four hundred seventy-three million, five hundred thousand, seven hundred twenty".