455602400 has 144 divisors (see below), whose sum is σ = 1266668928. Its totient is φ = 158400000.

The previous prime is 455602391. The next prime is 455602409. The reversal of 455602400 is 4206554.

It is an interprime number because it is at equal distance from previous prime (455602391) and next prime (455602409).

It is a self number, because there is not a number n which added to its sum of digits gives 455602400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455602409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201275 + ... + 203525.

It is an arithmetic number, because the mean of its divisors is an integer number (8796312).

Almost surely, 2^455602400 is an apocalyptic number.

455602400 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 455602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633334464).

455602400 is an abundant number, since it is smaller than the sum of its proper divisors (811066528).

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

455602400 is a wasteful number, since it uses less digits than its factorization.

455602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2292 counting only the distinct ones).

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

The square root of 455602400 is about 21344.8448108671. The cubic root of 455602400 is about 769.4764530102.

Adding to 455602400 its reverse (4206554), we get a palindrome (459808954).

The spelling of 455602400 in words is "four hundred fifty-five million, six hundred two thousand, four hundred".