455100676800 has 1344 divisors, whose sum is σ = 1975025971200. Its totient is φ = 88882790400.

The previous prime is 455100676741. The next prime is 455100676801. The reversal of 455100676800 is 8676001554.

455100676800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (455100676801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1608129459 + ... + 1608129741.

Almost surely, 2^455100676800 is an apocalyptic number.

455100676800 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 455100676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987512985600).

455100676800 is an abundant number, since it is smaller than the sum of its proper divisors (1519925294400).

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

455100676800 is a wasteful number, since it uses less digits than its factorization.

455100676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 455100676800 in words is "four hundred fifty-five billion, one hundred million, six hundred seventy-six thousand, eight hundred".