455986080 has 216 divisors, whose sum is σ = 1711025316. Its totient is φ = 110499840.

The previous prime is 455986079. The next prime is 455986081. The reversal of 455986080 is 80689554.

It is an interprime number because it is at equal distance from previous prime (455986079) and next prime (455986081).

It can be written as a sum of positive squares in 2 ways, for example, as 429484176 + 26501904 = 20724^2 + 5148^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (455986081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172932 + ... + 175548.

Almost surely, 2^455986080 is an apocalyptic number.

455986080 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 455986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855512658).

455986080 is an abundant number, since it is smaller than the sum of its proper divisors (1255039236).

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

455986080 is a wasteful number, since it uses less digits than its factorization.

455986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 455986080 is about 21353.8305697128. The cubic root of 455986080 is about 769.6923941383.

The spelling of 455986080 in words is "four hundred fifty-five million, nine hundred eighty-six thousand, eighty".