190468454400 has 936 divisors, whose sum is σ = 809564825160. Its totient is φ = 43535646720.

The previous prime is 190468454383. The next prime is 190468454401. The reversal of 190468454400 is 4454864091.

190468454400 is a `hidden beast` number, since 1 + 90 + 46 + 84 + 5 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190468454401) by changing a digit.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 27209779197 + ... + 27209779203.

It is an arithmetic number, because the mean of its divisors is an integer number (864919685).

Almost surely, 2^190468454400 is an apocalyptic number.

190468454400 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 190468454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404782412580).

190468454400 is an abundant number, since it is smaller than the sum of its proper divisors (619096370760).

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

190468454400 is an frugal number, since it uses more digits than its factorization.

190468454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 190468454400 in words is "one hundred ninety billion, four hundred sixty-eight million, four hundred fifty-four thousand, four hundred".