172409225400 has 144 divisors (see below), whose sum is σ = 579405512400. Its totient is φ = 45944202240.

The previous prime is 172409225353. The next prime is 172409225437. The reversal of 172409225400 is 4522904271.

172409225400 is a `hidden beast` number, since 1 + 7 + 24 + 0 + 9 + 225 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2648037 + ... + 2712363.

Almost surely, 2^172409225400 is an apocalyptic number.

172409225400 is a gapful number since it is divisible by the number (10) 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 172409225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289702756200).

172409225400 is an abundant number, since it is smaller than the sum of its proper divisors (406996287000).

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

172409225400 is a wasteful number, since it uses less digits than its factorization.

172409225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65838 (or 65826 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 172409225400 in words is "one hundred seventy-two billion, four hundred nine million, two hundred twenty-five thousand, four hundred".