450436800 has 336 divisors, whose sum is σ = 1700784000. Its totient is φ = 103219200.

The previous prime is 450436793. The next prime is 450436801. The reversal of 450436800 is 8634054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (450436801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002976 + ... + 1003424.

Almost surely, 2^450436800 is an apocalyptic number.

450436800 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 450436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850392000).

450436800 is an abundant number, since it is smaller than the sum of its proper divisors (1250347200).

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

450436800 is a wasteful number, since it uses less digits than its factorization.

450436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 450436800 is about 21223.4964131738. The cubic root of 450436800 is about 766.5572958874.

The spelling of 450436800 in words is "four hundred fifty million, four hundred thirty-six thousand, eight hundred".