172003461400 has 96 divisors (see below), whose sum is σ = 416343932640. Its totient is φ = 66024668160.

The previous prime is 172003461397. The next prime is 172003461401. The reversal of 172003461400 is 4164300271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172003461401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380997 + ... + 699403.

It is an arithmetic number, because the mean of its divisors is an integer number (4336915965).

Almost surely, 2^172003461400 is an apocalyptic number.

172003461400 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 172003461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208171966320).

172003461400 is an abundant number, since it is smaller than the sum of its proper divisors (244340471240).

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

172003461400 is a wasteful number, since it uses less digits than its factorization.

172003461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318533 (or 318524 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 172003461400 its reverse (4164300271), we get a palindrome (176167761671).

The spelling of 172003461400 in words is "one hundred seventy-two billion, three million, four hundred sixty-one thousand, four hundred".