450813888 has 168 divisors, whose sum is σ = 1563880032. Its totient is φ = 121208832.

The previous prime is 450813833. The next prime is 450813889. The reversal of 450813888 is 888318054.

450813888 is a `hidden beast` number, since 4 + 508 + 138 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×450813888² = 406466323227353088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450813889) 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, 65256 + ... + 71832.

Almost surely, 2^450813888 is an apocalyptic number.

450813888 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 450813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781940016).

450813888 is an abundant number, since it is smaller than the sum of its proper divisors (1113066144).

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

450813888 is a wasteful number, since it uses less digits than its factorization.

450813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 450813888 is about 21232.3782935403. The cubic root of 450813888 is about 766.7711467776.

The spelling of 450813888 in words is "four hundred fifty million, eight hundred thirteen thousand, eight hundred eighty-eight".