170420352400 has 45 divisors (see below), whose sum is σ = 409454733603. Its totient is φ = 68164838400.

The previous prime is 170420352371. The next prime is 170420352449. The reversal of 170420352400 is 4253024071.

The square root of 170420352400 is 412820.

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

170420352400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42210524304 + 128209828096 = 205452^2 + 358064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8246080 + ... + 8266720.

Almost surely, 2^170420352400 is an apocalyptic number.

170420352400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

170420352400 is the 412820-th square number.

It is an amenable number.

170420352400 is an abundant number, since it is smaller than the sum of its proper divisors (239034381203).

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

170420352400 is an frugal number, since it uses more digits than its factorization.

170420352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41300 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 170420352400 its reverse (4253024071), we get a palindrome (174673376471).

The spelling of 170420352400 in words is "one hundred seventy billion, four hundred twenty million, three hundred fifty-two thousand, four hundred".