450046284084000 has 960 divisors, whose sum is σ = 1666794441312000. Its totient is φ = 118929254400000.

The previous prime is 450046284083959. The next prime is 450046284084013. The reversal of 450046284084000 is 480482640054.

450046284084000 is a `hidden beast` number, since 4 + 500 + 4 + 6 + 28 + 40 + 84 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16183462096 + ... + 16183489904.

It is an arithmetic number, because the mean of its divisors is an integer number (1736244209700).

Almost surely, 2^{450046284084000} is an apocalyptic number.

450046284084000 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 450046284084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833397220656000).

450046284084000 is an abundant number, since it is smaller than the sum of its proper divisors (1216748157228000).

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

450046284084000 is a wasteful number, since it uses less digits than its factorization.

450046284084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28296 (or 28269 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 450046284084000 in words is "four hundred fifty trillion, forty-six billion, two hundred eighty-four million, eighty-four thousand".