201300454400 has 132 divisors (see below), whose sum is σ = 528334351848. Its totient is φ = 75783536640.

The previous prime is 201300454337. The next prime is 201300454403. The reversal of 201300454400 is 4454003102.

It is not an unprimeable number, because it can be changed into a prime (201300454403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203927 + ... + 666473.

Almost surely, 2^201300454400 is an apocalyptic number.

201300454400 is a gapful number since it is divisible by the number (20) 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 201300454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264167175924).

201300454400 is an abundant number, since it is smaller than the sum of its proper divisors (327033897448).

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

201300454400 is a wasteful number, since it uses less digits than its factorization.

201300454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462594 (or 462571 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 201300454400 its reverse (4454003102), we get a palindrome (205754457502).

The spelling of 201300454400 in words is "two hundred one billion, three hundred million, four hundred fifty-four thousand, four hundred".