473691430800 has 360 divisors, whose sum is σ = 1960359183744. Its totient is φ = 103564707840.

The previous prime is 473691430763. The next prime is 473691430829. The reversal of 473691430800 is 8034196374.

473691430800 is a `hidden beast` number, since 473 + 69 + 1 + 43 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×473691430800² (a number of 24 digits) contains 22 as substring.

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

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, 170964 + ... + 988236.

Almost surely, 2^473691430800 is an apocalyptic number.

473691430800 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 473691430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980179591872).

473691430800 is an abundant number, since it is smaller than the sum of its proper divisors (1486667752944).

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

473691430800 is a wasteful number, since it uses less digits than its factorization.

473691430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817327 (or 817313 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 473691430800 in words is "four hundred seventy-three billion, six hundred ninety-one million, four hundred thirty thousand, eight hundred".