450749374046400 has 2016 divisors, whose sum is σ = 1845223648128000. Its totient is φ = 95425634304000.

The previous prime is 450749374046399. The next prime is 450749374046407. The reversal of 450749374046400 is 4640473947054.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (450749374046407) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 130689871876 + ... + 130689875324.

It is an arithmetic number, because the mean of its divisors is an integer number (915289508000).

Almost surely, 2^{450749374046400} is an apocalyptic number.

450749374046400 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 450749374046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922611824064000).

450749374046400 is an abundant number, since it is smaller than the sum of its proper divisors (1394474274081600).

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

450749374046400 is a wasteful number, since it uses less digits than its factorization.

450749374046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 450749374046400 in words is "four hundred fifty trillion, seven hundred forty-nine billion, three hundred seventy-four million, forty-six thousand, four hundred".