450257077468800 has 768 divisors, whose sum is σ = 1884906882643200. Its totient is φ = 102823613153280.

The previous prime is 450257077468789. The next prime is 450257077468819. The reversal of 450257077468800 is 8864770752054.

It is a happy number.

450257077468800 is a `hidden beast` number, since 4 + 5 + 0 + 25 + 7 + 0 + 77 + 468 + 80 + 0 = 666.

It is a super-2 number, since 2×450257077468800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 675228354 + ... + 675894846.

It is an arithmetic number, because the mean of its divisors is an integer number (2454305836775).

Almost surely, 2^{450257077468800} is an apocalyptic number.

450257077468800 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 450257077468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942453441321600).

450257077468800 is an abundant number, since it is smaller than the sum of its proper divisors (1434649805174400).

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

450257077468800 is a wasteful number, since it uses less digits than its factorization.

450257077468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667650 (or 667627 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 450257077468800 in words is "four hundred fifty trillion, two hundred fifty-seven billion, seventy-seven million, four hundred sixty-eight thousand, eight hundred".