450312000 has 224 divisors, whose sum is σ = 1540581120. Its totient is φ = 115763200.

The previous prime is 450311987. The next prime is 450312011. The reversal of 450312000 is 213054.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695677 + ... + 696323.

Almost surely, 2^450312000 is an apocalyptic number.

450312000 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 450312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770290560).

450312000 is an abundant number, since it is smaller than the sum of its proper divisors (1090269120).

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

450312000 is a wasteful number, since it uses less digits than its factorization.

450312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 450312000 is about 21220.5560718846. The cubic root of 450312000 is about 766.4864941033.

Adding to 450312000 its reverse (213054), we get a palindrome (450525054).

The spelling of 450312000 in words is "four hundred fifty million, three hundred twelve thousand".