473749161600 has 1536 divisors, whose sum is σ = 1981223193600. Its totient is φ = 97763328000.

The previous prime is 473749161583. The next prime is 473749161601. The reversal of 473749161600 is 6161947374.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 473749161600.

It is not an unprimeable number, because it can be changed into a prime (473749161601) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1069410979 + ... + 1069411421.

It is an arithmetic number, because the mean of its divisors is an integer number (1289858850).

Almost surely, 2^473749161600 is an apocalyptic number.

473749161600 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 473749161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990611596800).

473749161600 is an abundant number, since it is smaller than the sum of its proper divisors (1507474032000).

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

473749161600 is a wasteful number, since it uses less digits than its factorization.

473749161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 473749161600 in words is "four hundred seventy-three billion, seven hundred forty-nine million, one hundred sixty-one thousand, six hundred".