172450490400 has 1008 divisors, whose sum is σ = 676250467200. Its totient is φ = 42796615680.

The previous prime is 172450490339. The next prime is 172450490413. The reversal of 172450490400 is 4094054271.

It is a happy number.

172450490400 is a `hidden beast` number, since 1 + 7 + 24 + 504 + 90 + 40 + 0 = 666.

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 167 ways as a sum of consecutive naturals, for example, 875383102 + ... + 875383298.

It is an arithmetic number, because the mean of its divisors is an integer number (670883400).

Almost surely, 2^172450490400 is an apocalyptic number.

172450490400 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 172450490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338125233600).

172450490400 is an abundant number, since it is smaller than the sum of its proper divisors (503799976800).

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

172450490400 is a wasteful number, since it uses less digits than its factorization.

172450490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 305 counting only the distinct ones).

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

The spelling of 172450490400 in words is "one hundred seventy-two billion, four hundred fifty million, four hundred ninety thousand, four hundred".