473427763200 has 1344 divisors, whose sum is σ = 2025641303040. Its totient is φ = 107495424000.

The previous prime is 473427763177. The next prime is 473427763229. The reversal of 473427763200 is 2367724374.

473427763200 is a `hidden beast` number, since 4 + 7 + 3 + 4 + 2 + 7 + 7 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×473427763200³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3135283125 + ... + 3135283275.

Almost surely, 2^473427763200 is an apocalyptic number.

473427763200 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 473427763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012820651520).

473427763200 is an abundant number, since it is smaller than the sum of its proper divisors (1552213539840).

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

473427763200 is an frugal number, since it uses more digits than its factorization.

473427763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 473427763200 in words is "four hundred seventy-three billion, four hundred twenty-seven million, seven hundred sixty-three thousand, two hundred".