172408400 has 30 divisors (see below), whose sum is σ = 414212142. Its totient is φ = 68963200.

The previous prime is 172408381. The next prime is 172408409. The reversal of 172408400 is 4804271.

It can be written as a sum of positive squares in 3 ways, for example, as 5895184 + 166513216 = 2428^2 + 12904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 172408400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172408409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215111 + ... + 215910.

Almost surely, 2^172408400 is an apocalyptic number.

172408400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172408400 is an abundant number, since it is smaller than the sum of its proper divisors (241803742).

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

172408400 is a wasteful number, since it uses less digits than its factorization.

172408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431039 (or 431028 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 172408400 is about 13130.4379211053. The cubic root of 172408400 is about 556.5695903644.

The spelling of 172408400 in words is "one hundred seventy-two million, four hundred eight thousand, four hundred".