455539968 has 216 divisors, whose sum is σ = 1441903008. Its totient is φ = 137465856.

The previous prime is 455539963. The next prime is 455539969. The reversal of 455539968 is 869935554.

It is a happy number.

455539968 is a `hidden beast` number, since 45 + 5 + 539 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455539963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2006671 + ... + 2006897.

Almost surely, 2^455539968 is an apocalyptic number.

455539968 is a gapful number since it is divisible by the number (48) 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 455539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720951504).

455539968 is an abundant number, since it is smaller than the sum of its proper divisors (986363040).

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

455539968 is a wasteful number, since it uses less digits than its factorization.

455539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 455539968 is about 21343.3822999074. The cubic root of 455539968 is about 769.4413038330.

The spelling of 455539968 in words is "four hundred fifty-five million, five hundred thirty-nine thousand, nine hundred sixty-eight".