450826000 has 80 divisors (see below), whose sum is σ = 1094715648. Its totient is φ = 179568000.

The previous prime is 450825959. The next prime is 450826001. The reversal of 450826000 is 628054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (450826001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861739 + ... + 862261.

Almost surely, 2^450826000 is an apocalyptic number.

450826000 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 450826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547357824).

450826000 is an abundant number, since it is smaller than the sum of its proper divisors (643889648).

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

450826000 is a wasteful number, since it uses less digits than its factorization.

450826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 450826000 is about 21232.6635163844. The cubic root of 450826000 is about 766.7780136534.

The spelling of 450826000 in words is "four hundred fifty million, eight hundred twenty-six thousand".