455321332400 has 240 divisors, whose sum is σ = 1237152960000. Its totient is φ = 159519360000.

The previous prime is 455321332393. The next prime is 455321332469. The reversal of 455321332400 is 4233123554.

It is a super-2 number, since 2×455321332400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63668825 + ... + 63675975.

It is an arithmetic number, because the mean of its divisors is an integer number (5154804000).

Almost surely, 2^455321332400 is an apocalyptic number.

455321332400 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 455321332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618576480000).

455321332400 is an abundant number, since it is smaller than the sum of its proper divisors (781831627600).

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

455321332400 is a wasteful number, since it uses less digits than its factorization.

455321332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 455321332400 its reverse (4233123554), we get a palindrome (459554455954).

The spelling of 455321332400 in words is "four hundred fifty-five billion, three hundred twenty-one million, three hundred thirty-two thousand, four hundred".