473784422400 has 585 divisors, whose sum is σ = 1762384660201. Its totient is φ = 125813882880.

The previous prime is 473784422369. The next prime is 473784422413. The reversal of 473784422400 is 4224487374.

The square root of 473784422400 is 688320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 170562392064 + 303222030336 = 412992^2 + 550656^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1982361481 + ... + 1982361719.

Almost surely, 2^473784422400 is an apocalyptic number.

473784422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

473784422400 is the 688320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473784422400

473784422400 is an abundant number, since it is smaller than the sum of its proper divisors (1288600237801).

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

473784422400 is an frugal number, since it uses more digits than its factorization.

473784422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 473784422400 in words is "four hundred seventy-three billion, seven hundred eighty-four million, four hundred twenty-two thousand, four hundred".