455433158400 has 1296 divisors, whose sum is σ = 1744272026112. Its totient is φ = 104457830400.

The previous prime is 455433158399. The next prime is 455433158483. The reversal of 455433158400 is 4851334554.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4695187152 + ... + 4695187248.

Almost surely, 2^455433158400 is an apocalyptic number.

455433158400 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 455433158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872136013056).

455433158400 is an abundant number, since it is smaller than the sum of its proper divisors (1288838867712).

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

455433158400 is a wasteful number, since it uses less digits than its factorization.

455433158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 455433158400 in words is "four hundred fifty-five billion, four hundred thirty-three million, one hundred fifty-eight thousand, four hundred".