450728755200 has 816 divisors, whose sum is σ = 1731898794240. Its totient is φ = 114708971520.

The previous prime is 450728755189. The next prime is 450728755237. The reversal of 450728755200 is 2557827054.

450728755200 is a `hidden beast` number, since 4 + 50 + 7 + 2 + 8 + 75 + 520 + 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 47 ways as a sum of consecutive naturals, for example, 1017446179 + ... + 1017446621.

Almost surely, 2^450728755200 is an apocalyptic number.

450728755200 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 450728755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865949397120).

450728755200 is an abundant number, since it is smaller than the sum of its proper divisors (1281170039040).

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

450728755200 is an equidigital number, since it uses as much as digits as its factorization.

450728755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 450728755200 in words is "four hundred fifty billion, seven hundred twenty-eight million, seven hundred fifty-five thousand, two hundred".