450345660710400 has 2880 divisors, whose sum is σ = 2080051052587200. Its totient is φ = 94592469565440.

The previous prime is 450345660710353. The next prime is 450345660710419. The reversal of 450345660710400 is 4017066543054.

450345660710400 is a `hidden beast` number, since 4 + 5 + 0 + 34 + 5 + 6 + 607 + 1 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×450345660710400² (a number of 30 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 50413704334 + ... + 50413713266.

It is an arithmetic number, because the mean of its divisors is an integer number (722239948815).

Almost surely, 2^{450345660710400} is an apocalyptic number.

450345660710400 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 450345660710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040025526293600).

450345660710400 is an abundant number, since it is smaller than the sum of its proper divisors (1629705391876800).

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

450345660710400 is a wasteful number, since it uses less digits than its factorization.

450345660710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 450345660710400 in words is "four hundred fifty trillion, three hundred forty-five billion, six hundred sixty million, seven hundred ten thousand, four hundred".