455206400 has 240 divisors, whose sum is σ = 1274101488. Its totient is φ = 159744000.

The previous prime is 455206397. The next prime is 455206403. The reversal of 455206400 is 4602554.

It is an interprime number because it is at equal distance from previous prime (455206397) and next prime (455206403).

It is a self number, because there is not a number n which added to its sum of digits gives 455206400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455206403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7462370 + ... + 7462430.

Almost surely, 2^455206400 is an apocalyptic number.

455206400 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 455206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637050744).

455206400 is an abundant number, since it is smaller than the sum of its proper divisors (818895088).

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

455206400 is a wasteful number, since it uses less digits than its factorization.

455206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 455206400 is about 21335.5665497779. The cubic root of 455206400 is about 769.2534508184.

Adding to 455206400 its reverse (4602554), we get a palindrome (459808954).

The spelling of 455206400 in words is "four hundred fifty-five million, two hundred six thousand, four hundred".