455231302240400 has 480 divisors, whose sum is σ = 1366868623142400. Its totient is φ = 145258257070080.

The previous prime is 455231302240367. The next prime is 455231302240411. The reversal of 455231302240400 is 4042203132554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114807722 + ... + 118706678.

It is an arithmetic number, because the mean of its divisors is an integer number (2847642964880).

Almost surely, 2^{455231302240400} is an apocalyptic number.

455231302240400 is a gapful number since it is divisible by the number (40) 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 455231302240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683434311571200).

455231302240400 is an abundant number, since it is smaller than the sum of its proper divisors (911637320902000).

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

455231302240400 is a wasteful number, since it uses less digits than its factorization.

455231302240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899056 (or 3899031 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 455231302240400 its reverse (4042203132554), we get a palindrome (459273505372954).

The spelling of 455231302240400 in words is "four hundred fifty-five trillion, two hundred thirty-one billion, three hundred two million, two hundred forty thousand, four hundred".