470945553638400 has 891 divisors, whose sum is σ = 1747478881420051. Its totient is φ = 121177169756160.

The previous prime is 470945553638359. The next prime is 470945553638401. The reversal of 470945553638400 is 4836355549074.

The square root of 470945553638400 is 21701280.

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

470945553638400 is a `hidden beast` number, since 4 + 7 + 0 + 9 + 4 + 5 + 553 + 6 + 38 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6473401426944 + 464472152211456 = 2544288^2 + 21551616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (470945553638401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 302081816821 + ... + 302081818379.

Almost surely, 2^{470945553638400} is an apocalyptic number.

470945553638400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

470945553638400 is the 21701280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470945553638400

470945553638400 is an abundant number, since it is smaller than the sum of its proper divisors (1276533327781651).

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

470945553638400 is an equidigital number, since it uses as much as digits as its factorization.

470945553638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 470945553638400 in words is "four hundred seventy trillion, nine hundred forty-five billion, five hundred fifty-three million, six hundred thirty-eight thousand, four hundred".