455554080 has 288 divisors, whose sum is σ = 1630347264. Its totient is φ = 115734528.

The previous prime is 455554079. The next prime is 455554081. The reversal of 455554080 is 80455554.

It is an interprime number because it is at equal distance from previous prime (455554079) and next prime (455554081).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455554081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3586977 + ... + 3587103.

It is an arithmetic number, because the mean of its divisors is an integer number (5660928).

Almost surely, 2^455554080 is an apocalyptic number.

455554080 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 455554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815173632).

455554080 is an abundant number, since it is smaller than the sum of its proper divisors (1174793184).

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

455554080 is a wasteful number, since it uses less digits than its factorization.

455554080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 455554080 is about 21343.7128916222. The cubic root of 455554080 is about 769.4492491611.

The spelling of 455554080 in words is "four hundred fifty-five million, five hundred fifty-four thousand, eighty".