473853600 has 432 divisors, whose sum is σ = 1891378944. Its totient is φ = 110592000.

The previous prime is 473853581. The next prime is 473853661. The reversal of 473853600 is 6358374.

It is a happy number.

473853600 is a `hidden beast` number, since 47 + 3 + 8 + 5 + 3 + 600 = 666.

It is a super-3 number, since 3×473853600³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2455104 + ... + 2455296.

It is an arithmetic number, because the mean of its divisors is an integer number (4378192).

Almost surely, 2^473853600 is an apocalyptic number.

473853600 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 473853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945689472).

473853600 is an abundant number, since it is smaller than the sum of its proper divisors (1417525344).

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

473853600 is a wasteful number, since it uses less digits than its factorization.

473853600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 473853600 is about 21768.1786100721. The cubic root of 473853600 is about 779.6171691360.

The spelling of 473853600 in words is "four hundred seventy-three million, eight hundred fifty-three thousand, six hundred".