455140400 has 240 divisors, whose sum is σ = 1314186720. Its totient is φ = 149299200.

The previous prime is 455140391. The next prime is 455140451. The reversal of 455140400 is 4041554.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4175546 + ... + 4175654.

It is an arithmetic number, because the mean of its divisors is an integer number (5475778).

Almost surely, 2^455140400 is an apocalyptic number.

455140400 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 455140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657093360).

455140400 is an abundant number, since it is smaller than the sum of its proper divisors (859046320).

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

455140400 is a wasteful number, since it uses less digits than its factorization.

455140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 455140400 is about 21334.0197806227. The cubic root of 455140400 is about 769.2162712139.

Adding to 455140400 its reverse (4041554), we get a palindrome (459181954).

The spelling of 455140400 in words is "four hundred fifty-five million, one hundred forty thousand, four hundred".