450553849200 has 2400 divisors, whose sum is σ = 2151998513280. Its totient is φ = 87588864000.

The previous prime is 450553849117. The next prime is 450553849223. The reversal of 450553849200 is 2948355054.

450553849200 is a `hidden beast` number, since 4 + 5 + 0 + 553 + 8 + 4 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4460929150 + ... + 4460929250.

Almost surely, 2^450553849200 is an apocalyptic number.

450553849200 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 450553849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075999256640).

450553849200 is an abundant number, since it is smaller than the sum of its proper divisors (1701444664080).

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

450553849200 is a wasteful number, since it uses less digits than its factorization.

450553849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 450553849200 in words is "four hundred fifty billion, five hundred fifty-three million, eight hundred forty-nine thousand, two hundred".