473515200 has 336 divisors, whose sum is σ = 1759366560. Its totient is φ = 123863040.

The previous prime is 473515187. The next prime is 473515201. The reversal of 473515200 is 2515374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473515201) 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, 4190344 + ... + 4190456.

It is an arithmetic number, because the mean of its divisors is an integer number (5236210).

Almost surely, 2^473515200 is an apocalyptic number.

473515200 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 473515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879683280).

473515200 is an abundant number, since it is smaller than the sum of its proper divisors (1285851360).

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

473515200 is a wasteful number, since it uses less digits than its factorization.

473515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 473515200 is about 21760.4044080068. The cubic root of 473515200 is about 779.4315384704.

The spelling of 473515200 in words is "four hundred seventy-three million, five hundred fifteen thousand, two hundred".