455663520 has 288 divisors, whose sum is σ = 1698160464. Its totient is φ = 110592000.

The previous prime is 455663503. The next prime is 455663539. The reversal of 455663520 is 25366554.

It is a happy number.

455663520 is a `hidden beast` number, since 45 + 566 + 3 + 52 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 299013264 + 156650256 = 17292^2 + 12516^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1890600 + ... + 1890840.

Almost surely, 2^455663520 is an apocalyptic number.

455663520 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 455663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849080232).

455663520 is an abundant number, since it is smaller than the sum of its proper divisors (1242496944).

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

455663520 is a wasteful number, since it uses less digits than its factorization.

455663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 455663520 is about 21346.2764902922. The cubic root of 455663520 is about 769.5108604217.

The spelling of 455663520 in words is "four hundred fifty-five million, six hundred sixty-three thousand, five hundred twenty".