455114800 has 240 divisors, whose sum is σ = 1346199552. Its totient is φ = 144460800.

The previous prime is 455114783. The next prime is 455114857. The reversal of 455114800 is 8411554.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2382705 + ... + 2382895.

Almost surely, 2^455114800 is an apocalyptic number.

455114800 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 455114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673099776).

455114800 is an abundant number, since it is smaller than the sum of its proper divisors (891084752).

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

455114800 is a wasteful number, since it uses less digits than its factorization.

455114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 455114800 is about 21333.4197914915. The cubic root of 455114800 is about 769.2018490666.

The spelling of 455114800 in words is "four hundred fifty-five million, one hundred fourteen thousand, eight hundred".