172042448400 has 405 divisors, whose sum is σ = 619694389197. Its totient is φ = 44198956800.

The previous prime is 172042448377. The next prime is 172042448453. The reversal of 172042448400 is 4844240271.

The square root of 172042448400 is 414780.

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

172042448400 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 4 + 244 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61935281424 + 110107166976 = 248868^2 + 331824^2 .

It is a super-5 number, since 5×172042448400⁵ (a number of 57 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 771490689 + ... + 771490911.

Almost surely, 2^172042448400 is an apocalyptic number.

172042448400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172042448400 is the 414780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172042448400

172042448400 is an abundant number, since it is smaller than the sum of its proper divisors (447651940797).

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

172042448400 is a wasteful number, since it uses less digits than its factorization.

172042448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Multiplying 172042448400 by its sum of digits (36), we get a square (6193528142400 = 2488680²).

172042448400 divided by its sum of digits (36) gives a square (4778956900 = 69130²).

Adding to 172042448400 its reverse (4844240271), we get a palindrome (176886688671).

The spelling of 172042448400 in words is "one hundred seventy-two billion, forty-two million, four hundred forty-eight thousand, four hundred".